Journal of Applied Analysis and Computation最新文献

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CONTINUITY OF SOLUTIONS IN <inline-formula><tex-math id="M1">$ H^1( {mathbb{R}}^N)cap L^{p}( {mathbb{R}}^N) $</tex-math></inline-formula> FOR STOCHASTIC REACTION-DIFFUSION EQUATIONS AND ITS APPLICATIONS TO PULLBACK ATTRACTOR $ H^1({mathbb{R}}^N)cap L^{p}({mathbb{R}}^N) $&lt;/ text -math&gt;&lt;/inline-formula&gt;随机反应扩散方程及其在回拉吸引子中的应用
4区 数学
Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI: 10.11948/20230009
Wenqiang Zhao, Zhi Li
{"title":"CONTINUITY OF SOLUTIONS IN &lt;inline-formula&gt;&lt;tex-math id=\"M1\"&gt;$ H^1( {mathbb{R}}^N)cap L^{p}( {mathbb{R}}^N) $&lt;/tex-math&gt;&lt;/inline-formula&gt; FOR STOCHASTIC REACTION-DIFFUSION EQUATIONS AND ITS APPLICATIONS TO PULLBACK ATTRACTOR","authors":"Wenqiang Zhao, Zhi Li","doi":"10.11948/20230009","DOIUrl":"https://doi.org/10.11948/20230009","url":null,"abstract":"In this paper, we consider the continuity of solutions for non-autonomous stochastic reaction-diffusion equation driven by additive noise over a Wiener probability space. It is proved that the solutions are strongly continuous in $ H^1( {mathbb{R}}^N)cap L^p( {mathbb{R}}^N) $ with respect to the $ L^2 $-initial data and the samples in the double limit sense. As applications of the results on the continuity we obtain that the pullback random attractor for this equation is measurable, compact and attracting in the topology of the space $ H^1( {mathbb{R}}^N)cap L^p( {mathbb{R}}^N) $ under a weak assumption on the forcing term and the noise coefficient. More precisely, the continuity of solutions in the initial data implies the asymptotic compactness of system and therefore the attraction of attractor, and the continuity in the samples indicates its measurability. The main technique employed here is the difference estimate method, by which an appropriate multiplier is carefully selected.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135105567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
TRANSMISSION DYNAMICS OF A CHAGAS DISEASE MODEL WITH STANDARD INCIDENCE INFECTION 具有标准感染发生率的恰加斯病模型的传播动力学
4区 数学
Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI: 10.11948/20230071
Fanwei Meng, Lin Chen, Xianchao Zhang, Yancong Xu
{"title":"TRANSMISSION DYNAMICS OF A CHAGAS DISEASE MODEL WITH STANDARD INCIDENCE INFECTION","authors":"Fanwei Meng, Lin Chen, Xianchao Zhang, Yancong Xu","doi":"10.11948/20230071","DOIUrl":"https://doi.org/10.11948/20230071","url":null,"abstract":"In this paper, an insect-parasite-host model with Ricker’s type reproduction of triatomines and the standard incidence rate of the interaction between insects and hosts is formulated to study the transmission dynamics of Chagas disease. Two thresholds of the ecological basic reproduction number of triatomines and the epidemiological basic reproduction number of Chagas disease are derived, which determine the dynamics of this model. As a result, the existence of equilibria and the local/global stabilities of the equilibrium are accordingly obtained. Moreover, backward bifurcation, forward bifurcation and saddle-node bifurcation are also shown analytically and numerically. Biologically speaking, Chagas disease may undergo outbreak if the number of bites of per triatomine bug per unit time or the transmission probability from infected bugs to susceptible competent hosts per bite increase.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135105572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
TRAVELING WAVES OF THE KDV-NKDV EQUATION kdv-nkdv方程的行波
4区 数学
Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI: 10.11948/20230100
Xueqiong Yi, Yuqian Zhou, Qian Liu
{"title":"TRAVELING WAVES OF THE KDV-NKDV EQUATION","authors":"Xueqiong Yi, Yuqian Zhou, Qian Liu","doi":"10.11948/20230100","DOIUrl":"https://doi.org/10.11948/20230100","url":null,"abstract":"In this paper, we use the dynamical system method to investigate the wave solutions of the KdV-nKdV equation. We prove Wazwaz’s proposal that the KdV-nKdV equation has continuous periodic wave solutions and give their exact expressions by elliptic integral theory. We confirm that the KdV-nKdV equation has no classical solitary wave solution although it can be regarded as a fusion of the KdV equation with classical solitary wave and the nKdV equation. In addition, we obtain some novel traveling wave solutions of it including trapezoidal wave, inverted ‘N’ wave, and blow-up wave solutions.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"146 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135105874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
COMPLEX NONLINEAR EVOLUTION EQUATIONS IN THE CONTEXT OF OPTICAL FIBERS: NEW WAVE-FORM ANALYSIS 光纤中的复杂非线性演化方程:新的波形分析
4区 数学
Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI: 10.11948/20230080
A. Tripathy, S. Sahoo, S. Saha Ray, M. A. Abdou
{"title":"COMPLEX NONLINEAR EVOLUTION EQUATIONS IN THE CONTEXT OF OPTICAL FIBERS: NEW WAVE-FORM ANALYSIS","authors":"A. Tripathy, S. Sahoo, S. Saha Ray, M. A. Abdou","doi":"10.11948/20230080","DOIUrl":"https://doi.org/10.11948/20230080","url":null,"abstract":"In this study, the new waveforms of two nonlinear evolution models are investigated by an analytical method, namely the sigmoid function method. The considered nonlinear complex models for this are the full nonlinearity form of the Fokas-Lenells equation and the paraxial wave equation, which play an important role in the field of fiber optics by balancing the nonlinearity with the dispersion terms. Under different numeric values of the free terms, the obtained results represent varieties of wave shapes, specifically anti-kink, dark, bright, singular soliton, anti-peakon, kink, two-lump propagation during breather periodic form, single lump, two lump solutions, periodic peakon, and periodic wave solutions, which have not been obtained in the previous studies. These dynamical characteristics are discussed in detail with the help of a pictorial presentation of the derived solutions. These resultants of both the considered nonlinear equations can be useful in both fiber optics as well as in other optics-related fields.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135105895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
FRACTIONAL LANGEVIN EQUATIONS WITH INFINITE-POINT BOUNDARY CONDITION: APPLICATION TO FRACTIONAL HARMONIC OSCILLATOR 具有无穷点边界条件的分数阶朗格万方程:在分数阶谐振子上的应用
4区 数学
Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI: 10.11948/20230124
Lamya Almaghamsi, Ahmed Salem
{"title":"FRACTIONAL LANGEVIN EQUATIONS WITH INFINITE-POINT BOUNDARY CONDITION: APPLICATION TO FRACTIONAL HARMONIC OSCILLATOR","authors":"Lamya Almaghamsi, Ahmed Salem","doi":"10.11948/20230124","DOIUrl":"https://doi.org/10.11948/20230124","url":null,"abstract":"The current study is concerned with the existence and uniqueness of the solution to the Langevin equation of two separate fractional orders. With the infinite-point boundary condition, the boundary value problem is studied. The Banach contraction principle, Leray-nonlinear Schauder's alternative, and Leray-Schauder degree theorems are all implemented. A numerical example is presented to demonstrate the accuracy of our results. In addition, as an application of our results, the mean and variance of a fractional harmonic oscillator with the undamped angular frequency of the oscillator under the effect of a random force described as Gaussian colored noise are calculated.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135105574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
FORECASTING SYSTEMIC RISK OF CHINA'S BANKING INDUSTRY BY PARTIAL DIFFERENTIAL EQUATIONS MODEL AND COMPLEX NETWORK 用偏微分方程模型和复杂网络预测中国银行业系统性风险
4区 数学
Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI: 10.11948/20230306
Xiaofeng Yan, Haiyan Wang, Yulian An
{"title":"FORECASTING SYSTEMIC RISK OF CHINA'S BANKING INDUSTRY BY PARTIAL DIFFERENTIAL EQUATIONS MODEL AND COMPLEX NETWORK","authors":"Xiaofeng Yan, Haiyan Wang, Yulian An","doi":"10.11948/20230306","DOIUrl":"https://doi.org/10.11948/20230306","url":null,"abstract":"The monitoring and controlling of systemic risk have increasingly become the focus of attention in the financial field. It is important and difficult to accurately forecast systemic financial risk. In this paper, we propose a spatio-temporal partial differential equation model to describe the systemic risk of China's Banking Industry based on network, clustering, and real date of 24 China's A-share listed banks. The model considers the combined influence of local risk and transboundary contagion effects, and the prediction relative accuracy is up to 95%. Simulation results confirm that strict joint control measures, the timeliness of central bank intervention, and differences in bank strategies are efficient for reducing systemic risk. To our knowledge, this is the first paper to apply a PDE model to forecast systemic financial risk.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135105891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
THE NON-EXISTENCE AND EXISTENCE OF NON-CONSTANT POSITIVE SOLUTIONS FOR A DIFFUSIVE AUTOCATALYSIS MODEL WITH SATURATION 具有饱和的扩散自催化模型的不存在性和非常正解的存在性
4区 数学
Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI: 10.11948/20230002
Gaihui Guo, Feiyan Guo, Bingfang Li, Lixin Yang
{"title":"THE NON-EXISTENCE AND EXISTENCE OF NON-CONSTANT POSITIVE SOLUTIONS FOR A DIFFUSIVE AUTOCATALYSIS MODEL WITH SATURATION","authors":"Gaihui Guo, Feiyan Guo, Bingfang Li, Lixin Yang","doi":"10.11948/20230002","DOIUrl":"https://doi.org/10.11948/20230002","url":null,"abstract":"This paper deals with a diffusive autocatalysis model with saturation under Neumann boundary conditions. Firstly, some stability and Turing instability results are obtained. Then by the maximum principle, H$ ddot{o} $lder inequality and Poincar$ acute{e} $ inequality, a priori estimates and some basic characterizations of non-constant positive solutions are given. Moreover, some non-existence results are presented for three different situations. In particular, we find that the model does not have any non-constant positive solution when the parameter which represents the saturation rate is large enough. In addition, we use the theories of Leray-Schauder degree and bifurcation to get the existence of non-constant positive solutions, respectively. The steady-state bifurcations at both simple and double eigenvalues are intensively studied and we establish some specific condition to determine the bifurcation direction. Finally, a few of numerical simulations are provided to illustrate theoretical results.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135105897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ANALYTICAL AND NUMERICAL DISCUSSION FOR THE PHASE-LAG VOLTERRA-FREDHOLM INTEGRAL EQUATION WITH SINGULAR KERNEL 具有奇异核的相位滞后volterra-fredholm积分方程的解析与数值讨论
4区 数学
Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI: 10.11948/20220547
Mohammed Abdel-Aty, Mohammed Abdou
{"title":"ANALYTICAL AND NUMERICAL DISCUSSION FOR THE PHASE-LAG VOLTERRA-FREDHOLM INTEGRAL EQUATION WITH SINGULAR KERNEL","authors":"Mohammed Abdel-Aty, Mohammed Abdou","doi":"10.11948/20220547","DOIUrl":"https://doi.org/10.11948/20220547","url":null,"abstract":"In this paper, we studied the existence and unique solution of the Volterra-Fredholm integral equation of the second kind (V-FIESK). The general singular kernel is considered to be in position with the Fredholm integral term. Singular kernel will tend to a logarithmic function under exceptional conditions and new discussions. The Volterra-Fredholm integral equation with the logarithmic form will be solved using Legendre polynomials, where the kernel of Volterra integral term is a positive continuous function in time. A system of infinite linear algebraic equations is obtained by solving the problem in series, where the convergence of this system is discussed. Finally, The error is calculated using Maple software after the numerical results have been acquired.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135105566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
FINITE-TIME BLOW UP OF SOLUTIONS FOR A FOURTH-ORDER VISCOELASTIC WAVE EQUATION WITH DAMPING TERMS 带阻尼项的四阶粘弹性波动方程解的有限时间爆破
4区 数学
Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI: 10.11948/20230162
Le Thi Mai Thanh, Le Thi Phuong Ngoc, Nguyen Huu Nhan, Nguyen Thanh Long
{"title":"FINITE-TIME BLOW UP OF SOLUTIONS FOR A FOURTH-ORDER VISCOELASTIC WAVE EQUATION WITH DAMPING TERMS","authors":"Le Thi Mai Thanh, Le Thi Phuong Ngoc, Nguyen Huu Nhan, Nguyen Thanh Long","doi":"10.11948/20230162","DOIUrl":"https://doi.org/10.11948/20230162","url":null,"abstract":"In this paper, a class of fourth-order viscoelastic wave equations with damping terms is studied. First, the local existence and uniqueness of weak solutions for the proposed problem are proved by the linear approximation and the Faedo-Galerkin method. Next, a special case of the original problem is considered. Then, under some suitablely sufficient conditions on the relaxation functions and by using contrary arguments, we show that the corresponding problem in this case does not admit any global solutions. Ultimately, we prove the finite-time blow up of solutions in case of negative initial energy.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135105573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
THE LIE SYMMETRY ANALYSIS, OPTIMAL SYSTEM, EXACT SOLUTIONS AND CONSERVATION LAWS OF THE (2+1)-DIMENSIONAL VARIABLE COEFFICIENTS DISPERSIVE LONG WAVE EQUATIONS (2+1)维变系数色散长波方程的李对称性分析、最优系统、精确解和守恒律
4区 数学
Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI: 10.11948/20230147
Meng Jin, Jiajia Yang, Jinzhou Liu, Xiangpeng Xin
{"title":"THE LIE SYMMETRY ANALYSIS, OPTIMAL SYSTEM, EXACT SOLUTIONS AND CONSERVATION LAWS OF THE (2+1)-DIMENSIONAL VARIABLE COEFFICIENTS DISPERSIVE LONG WAVE EQUATIONS","authors":"Meng Jin, Jiajia Yang, Jinzhou Liu, Xiangpeng Xin","doi":"10.11948/20230147","DOIUrl":"https://doi.org/10.11948/20230147","url":null,"abstract":"In this article, the (2+1)-dimensional variable coefficients dispersive long wave equations (vcDLWs) are studied by the Lie symmetry analysis method. The infinitesimal generators and geometric vector fields are given. Optimal system of the (2+1)-dimensional vcDLWs are analyzed by Olver's method. Based on the optimal system, the (2+1)-dimensional vcDLW equations are reduced to (1+1)-dimensional equations. A number of new exact solutions of vcDLW equations are derived. Some kink solutions and 2-soliton solutions are obtained by using $left( {1/G'} right)$-expansion method and $left( {G'/G} right)$-expansion method. Many different types of exact solutions can be obtained by changing the coefficient functions. By exploring the evolution of the solutions with function of the coefficients and time $t$, the dynamic behaviors of the solutions are analysed. At last, the conservation laws of the (2+1)-dimensional vcDLWs are derived based on the nonlinear self-adjointness.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"103 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135105578","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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