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1.Parametrically defined nonlinear differential equations, differential-algebraic equations, and implicit ODEs: Transformations, general solutions, and integration methods

作者：Andrei D. Polyanin^a ; ^b ; ^c ; ^{polyanin@ipmnet.ru" class="auth_mail" title="E-mail the corresponding author} ; Alexei I. Zhurov^a ; ^d ; ^{zhurovai@cardiff.ac.uk" class="auth_mail" title="E-mail the corresponding author}

关键词：Parametrically defined differential equations ; Differential&ndash ; algebraic equations ; Nonlinear differential equations ; Exact and numerical methods ; Cauchy problem ; Exact and general solutions

刊名：Applied Mathematics Letters

出版年：2017

2.Generalized Thomas-Fermi equations as the Lampariello class of Emden-Fowler equations

作者：Haret C. Rosu^a ; ^{hcr@ipicyt.edu.mx} ; Stefan C. Mancas^b ; ^{mancass@erau.edu}

关键词：Generalized Thomas&ndash ; Fermi equation ; Emden&ndash ; Fowler equation ; Abel equation ; Invariant ; Dynamical systems

刊名：Physica A: Statistical Mechanics and its Applications

出版年：2017

3.Application of the improved F-expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations

作者：Md. Shafiqul Islam^a ; ^{shafiquemath31@gmail.com} ; ^{shafique.pust@gmail.com} ; Kamruzzaman Khan^a ; M. Ali Akbar^b

关键词：Improved F-expansion method ; Benney&ndash ; Luke equation ; Phi-4 equation ; Exact solution ; NLEEs

刊名：Journal of the Egyptian Mathematical Society

出版年：2017

4.The linear differential equations with complex constant coefficients and Schrödinger equations

作者：Soon-Mo Jung^a ; ^{smjung@hongik.ac.kr} ; Jaiok Roh^b ; ^{joroh@hallym.ac.kr}

关键词：Hyers&ndash ; Ulam stability ; Generalized Hyers&ndash ; Ulam stability ; Linear differential equation ; Approximation ; Schrö ; dinger equation

刊名：Applied Mathematics Letters

出版年：2017

5.Solving a singular beam equation by using a weak-form integral equation method

作者：Chein-Shan Liu^a ; Dongjie Liu^b ; ^{Liudj@shu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Wun-Sin Jhao^c

关键词：Singular beam equation ; Weak-form integral equation method ; Exponentially/polynomially fitted trial functions

刊名：Applied Mathematics Letters

出版年：2017

6.Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity

作者：Giulia Furioli^a ; ^{gfurioli@unibg.it" class="auth_mail" title="E-mail the corresponding author} ; Tatsuki Kawakami^b ; ^{kawakami@ms.osakafu-u.ac.jp" class="auth_mail" title="E-mail the corresponding author} ; Bernhard Ruf^c ; ^{bernhard.ruf@unimi.it" class="auth_mail" title="E-mail the corresponding author} ; Elide Terraneo^c ; ^{elide.terraneo@unimi.it" class="auth_mail" title="E-mail the corresponding author}

关键词：Asymptotic behavior ; Nonlinear heat equation ; Fractional diffusion equation ; Exponential nonlinearity ; Orlicz space

刊名：Journal of Differential Equations

出版年：2017

7.Stability of stationary solution for the compressible viscous magnetohydrodynamic equations with large potential force in bounded domain

作者：Yeping Li^a ; ^{gmail@google.com} ; Xiongfeng Yang^b ; ^{xf-yang@sjtu.edu.cn}

关键词：Magnetohydrodynamic equations ; Initial-boundary problem ; Potential force ; Stationary solution ; Stability criterion

刊名：Journal of Differential Equations

出版年：2017

8.On connections between stochastic differential inclusions and set-valued stochastic differential equations driven by semimartingales

作者：Mariusz Michta ^{m.michta@wmie.uz.zgora.pl}

关键词：Set-valued function ; Stochastic differential inclusion ; Set-valued stochastic differential equation ; Semimartingale ; Attainable set ; Continuous selection

刊名：Journal of Differential Equations

出版年：2017

9.On connections of the Liénard equation with some equations of Painlevé-Gambier type

作者：Nikolai A. Kudryashov ; ^{nakudr@gmail.com} ; Dmitry I. Sinelshchikov

关键词：Lié ; nard equation ; Analytical solution ; Sundman transformation ; Painlevé ; &ndash ; Gambier classification

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

10.On the global well-posedness of BV weak solutions to the Kuramoto-Sakaguchi equation

作者：Debora Amadori^a ; ^{amadori@univaq.it" class="auth_mail" title="E-mail the corresponding author} ; Seung-Yeal Ha^b ; ^c ; ^{syha@snu.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; Jinyeong Park^d ; ^{pjy40@snu.ac.kr" class="auth_mail" title="E-mail the corresponding author}

关键词：BV weak solution ; Continuous dependence ; The Kuramoto model ; The Kuramoto&ndash ; Sakaguchi equation ; Synchronization

刊名：Journal of Differential Equations

出版年：2017

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