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Nonlinear Analysis and Differential Equations最新文献

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Harnack inequality and continuity of solutions for quasilinear elliptic equations in Sobolev spaces with variable exponent 变指数Sobolev空间拟线性椭圆方程解的哈纳克不等式和连续性
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2014.31225
A. Baalal, A. Qabil
{"title":"Harnack inequality and continuity of solutions for quasilinear elliptic equations in Sobolev spaces with variable exponent","authors":"A. Baalal, A. Qabil","doi":"10.12988/NADE.2014.31225","DOIUrl":"https://doi.org/10.12988/NADE.2014.31225","url":null,"abstract":"","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"270 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116434798","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: 5
Periodic Orbits of Weakly Exact Magnetic Flows 弱精确磁流的周期轨道
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2013.13011
O. Osuna
{"title":"Periodic Orbits of Weakly Exact Magnetic Flows","authors":"O. Osuna","doi":"10.12988/NADE.2013.13011","DOIUrl":"https://doi.org/10.12988/NADE.2013.13011","url":null,"abstract":"For a weakly exact magnetic flows with a bounded primitive on a closed Riemannian manifold, we prove the existence of periodic orbits","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"16 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125705260","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: 5
Asymptotics of the solution of a boundary value problem in an infinite semi-strip for one-characteristic differential equation degenerating into a parabolic equation 退化为抛物型方程的单特征微分方程无穷半带边值问题解的渐近性
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/nade.2016.612
M. Sabzaliev, Mahbuba E. Kerimova
{"title":"Asymptotics of the solution of a boundary value problem in an infinite semi-strip for one-characteristic differential equation degenerating into a parabolic equation","authors":"M. Sabzaliev, Mahbuba E. Kerimova","doi":"10.12988/nade.2016.612","DOIUrl":"https://doi.org/10.12988/nade.2016.612","url":null,"abstract":"In an infinite semi-strip we consider a boundary value problem for a third order nonclassical type equation degenerating into a parabolic equation. The complete expansion of the solution of the problem under consideration in small parameter was constructed and the remainder term was estimated.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"300 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131659882","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
Solution of third order viscous wave equation using finite difference method 用有限差分法求解三阶粘性波动方程
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2019.969
Esther Chepngetich Rop, Okoya Michael Oduor, O. M. Oduor
{"title":"Solution of third order viscous wave equation using finite difference method","authors":"Esther Chepngetich Rop, Okoya Michael Oduor, O. M. Oduor","doi":"10.12988/NADE.2019.969","DOIUrl":"https://doi.org/10.12988/NADE.2019.969","url":null,"abstract":"Abstract The aim of this paper was to solve the third order viscous wave equation: utt = vuxx + c uxxt, which is a PDE. It occurs in many real-life situations such as water waves, sound waves, radio waves, light waves and seismic waves. This equation has been solved before using analytical methods but not yet been exhaustively nor conclusively done. Two schemes, namely CD-FD and CN-FD were developed and the equation discretised by FDM. We used each scheme respectively to obtain solution algorithms. Stability of the schemes was analysed, consistency of the numerical solutions with the original equation was tested, and Mathematica software used to generate solutions. The numerical computational results obtained for solutions of third order viscous wave equation obtained for varying the mesh ratio showed that the schemes were both conditionally stable and consistency noted. We found that as the mesh ratio reduces, the solution tends towards the exact solution. The solution algorithm showed consistency with the original viscous equation when tested. In addition, the equation simulates many physical situations which include designing of bridges, acoustics, gas dynamics, seismology, meteorology among many other natural phenomena. This work contributes to mathematical knowledge in research and innovations which apply PDEs.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134166226","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
Motion of an incompressible fluid with unit viscosity 具有单位粘度的不可压缩流体的运动
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2013.13015
V. G. Gupta, K. Pal
{"title":"Motion of an incompressible fluid with unit viscosity","authors":"V. G. Gupta, K. Pal","doi":"10.12988/NADE.2013.13015","DOIUrl":"https://doi.org/10.12988/NADE.2013.13015","url":null,"abstract":"In the present paper we obtain the most general solution of the system of NavierStock`s equation for the motion of an incompressible fluid with unit viscosity using the general prolongation formula for their infinitesimal symmetries.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"123 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133050015","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
q-Harmonic mappings for which analytic part is q-convex functions 解析部分为q-凸函数的q-调和映射
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2016.6311
Kaya Ademogullari, Yasemin Kahramaner, Y. Polatoglu
{"title":"q-Harmonic mappings for which analytic part is q-convex functions","authors":"Kaya Ademogullari, Yasemin Kahramaner, Y. Polatoglu","doi":"10.12988/NADE.2016.6311","DOIUrl":"https://doi.org/10.12988/NADE.2016.6311","url":null,"abstract":"In the present article we will examine the subclass of planar harmonic mappings. Let h(z) and g(z) are analytic functions in the open unit disc D = {z | |z| < 1} and having the power series represantation h(z) = z + a2z 2+. . . and g(z) = b1z+b2z+. . .. If f = h(z) + g(z) be the solution of the non-linear partial differential equation wq(z) = ( Dqg(z) Dqh(z) ) = f z̄ fz with |wq(z)| < 1, h(z) q-convex function, then this class is called q-harmonic mappings for which analytic part is q-convex functions and the class of such functions is denoted by SHC(q), where Dqh(z) = h(z)−h(qz) (1−q)z = fz, Dqg(z) = g(z)−g(qz) (1−q)z = f̄z̄, q ∈ (0, 1). Mathematics Subject Classification: 3045","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114996513","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: 10
Uniformly harmonic starlike functions of complex order 复阶均匀调和星形函数
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2017.61297
S. Bukhari, Malik Ali Raza, B. Malik
{"title":"Uniformly harmonic starlike functions of complex order","authors":"S. Bukhari, Malik Ali Raza, B. Malik","doi":"10.12988/NADE.2017.61297","DOIUrl":"https://doi.org/10.12988/NADE.2017.61297","url":null,"abstract":"In this paper, we introduce and investigate a new class of p-valent harmonic starlike functions of complex order b. We study various properties of this class including coefficient conditions, distortion bounds, extreme points, convex combination and find their connection with the already known classes. Mathematics Subject Classification: Primary: 30C45, Secondary 31A05","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114638376","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
The positive solution for the boundary value problem of a singular impulsive differential system on the half-line 半线上奇异脉冲微分系统边值问题的正解
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/nade.2022.91141
M. Wang, Fuyi Xu, Qi Tang
{"title":"The positive solution for the boundary value problem of a singular impulsive differential system on the half-line","authors":"M. Wang, Fuyi Xu, Qi Tang","doi":"10.12988/nade.2022.91141","DOIUrl":"https://doi.org/10.12988/nade.2022.91141","url":null,"abstract":"","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"163 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134194776","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
Hyperbolic Functions and the Heat Balance Integral Method 双曲函数与热平衡积分法
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2013.13003
G. Nhawu, G. Tapedzesa
{"title":"Hyperbolic Functions and the Heat Balance Integral Method","authors":"G. Nhawu, G. Tapedzesa","doi":"10.12988/NADE.2013.13003","DOIUrl":"https://doi.org/10.12988/NADE.2013.13003","url":null,"abstract":"Implementations of the heat balance integral method are discussed in which hyperbolic functions are used in place of the familiar polynomial approximants.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116403763","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
Necessary and sufficient conditions for the existence of globally asymptotic stability of quasi-periodic dynamical systems 拟周期动力系统全局渐近稳定存在的充分必要条件
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/nade.2016.6745
Sergey A. Strekopytov, M. Strekopytova, Olga S. Strekopytova
{"title":"Necessary and sufficient conditions for the existence of globally asymptotic stability of quasi-periodic dynamical systems","authors":"Sergey A. Strekopytov, M. Strekopytova, Olga S. Strekopytova","doi":"10.12988/nade.2016.6745","DOIUrl":"https://doi.org/10.12988/nade.2016.6745","url":null,"abstract":"The paper deals with systems of differential equations whose righthand sides are quasi-periodic functions with respect to an independent variable. General properties of solutions and the structure of invariant sets of the systems are examined. In this paper we present necessary and sufficient conditions for the existence of globally asymptotic stability of periodic and quasi-periodic solutions. Characteristics of some general properties of integrated curves of systems of differential equations with quasi-periodic with respect to independent argument right448 Sergey A. Strekopytov, Mariya V. Strekopytova and Olga S. Strekopytova hand sides are given. Necessary and sufficient conditions for existence of quasi-periodic oscillations and globally asymptotic stability are provided. Qualitative methods have been applied to obtain the results presented in the paper. Mathematics Subject Classification: 37B55, 35B40, 35B10","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121717502","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
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