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A note on set valued maps on admissible extension type spaces 关于可容许扩展类型空间上集值映射的注释
The Journal of Nonlinear Sciences and Applications Pub Date : 2023-11-12 DOI: 10.22436/jnsa.016.04.04
D. O'Regan
{"title":"A note on set valued maps on admissible extension type spaces","authors":"D. O'Regan","doi":"10.22436/jnsa.016.04.04","DOIUrl":"https://doi.org/10.22436/jnsa.016.04.04","url":null,"abstract":"We present a number of fixed point results for general classes of maps defined on a variety of extension type and admissible type spaces.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135038350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Third Hankel determinant for q -analogue of symmetric starlike connected to q -exponential function 第三种汉克尔行列式的q -模拟对称星形连接到q -指数函数
The Journal of Nonlinear Sciences and Applications Pub Date : 2023-10-26 DOI: 10.22436/jnsa.016.04.01
Y. Hamayun, N. Ullah, R. Khan, Kh. Ahmad, M. Gh. Khan, B. Khan
{"title":"Third Hankel determinant for q -analogue of symmetric starlike connected to q -exponential function","authors":"Y. Hamayun, N. Ullah, R. Khan, Kh. Ahmad, M. Gh. Khan, B. Khan","doi":"10.22436/jnsa.016.04.01","DOIUrl":"https://doi.org/10.22436/jnsa.016.04.01","url":null,"abstract":"By making use of the concept of basic (or q -) calculus, a subclass of q -starlike functions with reference to symmetric points, which is associated with the q -exponential function, is introduced in the open unit disc. Further, we derived upper bounds for the third-order Hankel determinant for the defined class. For the validity of our results, relevant connections with those in earlier works are also pointed out","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134971596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Viscosity approximation method for a variational problem 变分问题的粘度近似方法
The Journal of Nonlinear Sciences and Applications Pub Date : 2023-10-26 DOI: 10.22436/jnsa.016.04.02
R. May
{"title":"Viscosity approximation method for a variational problem","authors":"R. May","doi":"10.22436/jnsa.016.04.02","DOIUrl":"https://doi.org/10.22436/jnsa.016.04.02","url":null,"abstract":"","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134971599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Model order reduction of tumor growth model 肿瘤生长模型模型阶数降低
The Journal of Nonlinear Sciences and Applications Pub Date : 2023-10-26 DOI: 10.22436/jnsa.016.04.03
G. Mulayim
{"title":"Model order reduction of tumor growth model","authors":"G. Mulayim","doi":"10.22436/jnsa.016.04.03","DOIUrl":"https://doi.org/10.22436/jnsa.016.04.03","url":null,"abstract":"In this paper, reduced order models (ROMs) for the tumor growth model, which is a nonlinear cross-diffusion system are presented. Linear-quadratic ordinary differential equations are obtained by applying the finite difference method to the tumor growth model for spatial discretization. The structure of the ROMs is the same as the structure of the full order model. Proper orthogonal decomposition method with tensorial form is sufficient to compute the reduced solutions efficiently and fast. The results of ROM are presented for one-and two-dimensional cases. Finally, the entropy structure for the reduced solutions, which are in decay form are presented","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134971600","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coupling homogenization and large deviations, with applications to nonlocal parabolic partial differential equations 耦合均匀化和大偏差，及其在非局部抛物型偏微分方程中的应用
The Journal of Nonlinear Sciences and Applications Pub Date : 2023-10-08 DOI: 10.22436/jnsa.016.03.03
A. Coulibaly
{"title":"Coupling homogenization and large deviations, with applications to nonlocal parabolic partial differential equations","authors":"A. Coulibaly","doi":"10.22436/jnsa.016.03.03","DOIUrl":"https://doi.org/10.22436/jnsa.016.03.03","url":null,"abstract":"Consider the following nonlocal integro-differential operator of L´evy-type L α ε , δ given by L αε , δ f ( x ) := (cid:90) R d { 0 } (cid:20) f (cid:16) x + εσ (cid:16) x δ , y (cid:17)(cid:17) − f ( x ) − εσ i (cid:16) x δ , y (cid:17) ∂ i f ( x ) 1 B ( y ) (cid:21) ν αε ( dy ) + (cid:20)(cid:16) ε δ (cid:17) α − 1 b i 0 (cid:16) x δ (cid:17) + b i 1 (cid:16) x δ (cid:17)(cid:21) ∂ i f ( x ) , related to stochastic differential equations driven by multiplicative isotropic α -stable L´evy noise (1 < α < 2). We study by using homogenization theory the behavior of u ε , δ : R d −→ R of double perturbed Kolmogorov, Petrovskii and Piskunov (KPP)-type with periodic coefficients varying over length scale δ and nonlinear reaction term of scale 1 /ε , (cid:14)","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135252203","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coefficient estimates for a class of bi-univalent functions involving Mittag-Leffler type Borel distribution 一类涉及Mittag-Leffler型Borel分布的双单价函数的系数估计
The Journal of Nonlinear Sciences and Applications Pub Date : 2023-10-08 DOI: 10.22436/jnsa.016.03.04
B. Khan, M. Ghaffar Khan, T. G. Shaba
{"title":"Coefficient estimates for a class of bi-univalent functions involving Mittag-Leffler type Borel distribution","authors":"B. Khan, M. Ghaffar Khan, T. G. Shaba","doi":"10.22436/jnsa.016.03.04","DOIUrl":"https://doi.org/10.22436/jnsa.016.03.04","url":null,"abstract":"","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135252208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamic behaviour of a single-species nonlinear fishery model with infection: the role of fishing tax and time-dependent market price 具有感染的单物种非线性渔业模型的动态行为:渔业税和时变市场价格的作用
The Journal of Nonlinear Sciences and Applications Pub Date : 2023-10-08 DOI: 10.22436/jnsa.016.03.02
B. Sarkar, S. Bhattacharya, N. Bairagi
{"title":"Dynamic behaviour of a single-species nonlinear fishery model with infection: the role of fishing tax and time-dependent market price","authors":"B. Sarkar, S. Bhattacharya, N. Bairagi","doi":"10.22436/jnsa.016.03.02","DOIUrl":"https://doi.org/10.22436/jnsa.016.03.02","url":null,"abstract":"Taxation policy for fishing received global consent to protect fisheries from drastic harvesting. Still, it should be applied sustainably for a greater ecological and economic benefit because over-taxation may impair fishers’ earnings and reduce the overall societal revenue. The fish disease may alter the system dynamics and reduce the revenue generation from the fishery. This paper proposes a nonlinear bioeconomic harvesting model of a single-species fishery with infection, variable market price, and nonlinear demand to explore taxation’s ecological and economic effects. We provide the stability results of the system’s different ecological and economic equilibrium points. The analytical conditions for the existence of transcritical bifurcation are also established. The computational results show that the system exhibits three dynamical regimes depending on the fishing tax. Taxation might control intensive harvesting but augment disease spreading and price hiking. Higher regulatory tax may even cause a regime shift, where the system enters into a non-harvesting regime from the harvesting one, causing an ecological and economic imbalance. Using Pontryagin’s maximum principle, we decipher that some optimal fishing tax exists for the maximum societal benefit in a disease-induced fishery.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135252202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Gould-Hopper based fully degenerate Type2 poly-Bernoulli polynomials with a q -parameter 基于Gould-Hopper的带q参数的全退化2型多伯努利多项式
The Journal of Nonlinear Sciences and Applications Pub Date : 2023-03-10 DOI: 10.22436/jnsa.016.01.02
E. Negiz, M. Acikgoz, U. Duran
{"title":"On Gould-Hopper based fully degenerate Type2 poly-Bernoulli polynomials with a q -parameter","authors":"E. Negiz, M. Acikgoz, U. Duran","doi":"10.22436/jnsa.016.01.02","DOIUrl":"https://doi.org/10.22436/jnsa.016.01.02","url":null,"abstract":"","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136095413","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Resonance response analysis of nonlinear vibration energy harvesting system under bounded noise excitation 有界噪声激励下非线性振动能量收集系统的共振响应分析
The Journal of Nonlinear Sciences and Applications Pub Date : 2021-05-26 DOI: 10.22436/JNSA.015.01.01
Di Liu, Qianqian Fu
{"title":"Resonance response analysis of nonlinear vibration energy harvesting system under bounded noise excitation","authors":"Di Liu, Qianqian Fu","doi":"10.22436/JNSA.015.01.01","DOIUrl":"https://doi.org/10.22436/JNSA.015.01.01","url":null,"abstract":"In this paper, the resonance response of piezoelectric vibration energy harvester (VEH) driven by bounded noise is discussed through the quasi-conservative stochastic averaging method. A nonlinear transformation based on the total energy is firstly established to transform piezoelectric VEH system from an electromechanical coupled nonlinear system into a single-degree-offreedom (SDOF) system. Then the SDOF system is rewritten as Itô stochastic system about the energy and residual phase under the case of p:q resonance through the quasi-conservative stochastic averaging method. And the joint probability density function (JPDF) of the stationary response is obtained by solving the corresponding two-dimensional Fokker-Planck-Kolmogorov (FPK) equation using the finite difference method. Meanwhile, the mean-square electric voltage and the mean output power are further analytically given through the JPDF. Finally, the resonance response of piezoelectric VEH system is analyzed in detail in case of the primary resonance, and the Monte Carlo (MC) simulation technique is adopted to validate the effectiveness of the finite difference method.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78098385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximation degree of bivariate Kantorovich Stancu operators 二元Kantorovich斯坦库算子的近似度
The Journal of Nonlinear Sciences and Applications Pub Date : 2021-05-20 DOI: 10.22436/JNSA.014.06.05
P. Agrawal, N. Bhardwaj, J. Singh
{"title":"Approximation degree of bivariate Kantorovich Stancu operators","authors":"P. Agrawal, N. Bhardwaj, J. Singh","doi":"10.22436/JNSA.014.06.05","DOIUrl":"https://doi.org/10.22436/JNSA.014.06.05","url":null,"abstract":"Abel et al. [U. Abel, M. Ivan, R. Păltănea, Appl. Math. Comput., 259 (2015), 116–123] introduced a Durrmeyer type integral variant of the Bernstein type operators based on two parameters defined by Stancu [D. D. Stancu, Calcolo, 35 (1998), 53–62]. Kajla [A. Kajla, Appl. Math. Comput., 316 (2018), 400–408] considered a Kantorovich modification of the Stancu operators wherein he studied some basic convergence theorems and also the rate of A-statistical convergence. In the present paper, we define a bivariate case of the operators proposed in [A. Kajla, Appl. Math. Comput., 316 (2018), 400–408] to study the degree of approximation for functions of two variables. We obtain the rate of convergence of these bivariate operators by means of the complete modulus of continuity, the partial moduli of continuity and the Peetre’s K-functional. Voronovskaya and Grüss Voronovskaya type theorems are also established. We introduce the associated GBS (Generalized Boolean Sum) operators of the bivariate operators and discuss the approximation degree of these operators with the aid of the mixed modulus of smoothness for Bögel continuous and Bögel differentiable functions.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86279272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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