Results 11 to 20 of about 37 (27)
FDM for fractional parabolic equations with the Neumann condition
Advances in Differential Equations, 2013 In the present study, the first and second order of accuracy stable difference schemes for the numerical solution of the initial boundary value problem for the fractional parabolic equation with the Neumann boundary condition are presented.
A. Ashyralyev, Zafer Cakir
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Existence for Korteweg-de Vries-type equation with delay
Advances in Differential Equations, 2012 The existence and uniqueness of the Korteweg-de Vries type equation with time delay are investigated. The problem is formulated as an abstract quasi-linear function differential equation.
Zhihong Zhao, Erhua Rong, Xiangkui Zhao
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Advances in Differential Equations, 2013 In this work, we introduce a linear finite-difference methodology to approximate non-negative and bounded solutions of a coupled system of nonlinear parabolic partial differential equations that describes the growth of two different microbial colonies on
J. Macías-Díaz
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Multiple solutions for a class of oscillatory discrete problems
Advances in Nonlinear Analysis, 2015 In this paper, we study a discrete nonlinear boundary value problem that involves a nonlinear term oscillating at infinity and a power-type nonlinearity up.
Mălin Maria
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High order multiscale analysis of discrete integrable equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this article we present the results obtained applying the multiple scale expansion up to the order $\varepsilon^6$ to a dispersive multilinear class of equations on a square lattice depending on 13 parameters. We show that the integrability conditions
Rafael Hernandez Heredero +2 more
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, 2018 One class of nonhomogeneous neutral partial differential equations with deviating argument in the time variable is investigated. We find conditions under which it is possible to construct global solutions of these equations.
A. Samoilenko, L. M. Sergeeva
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Well-posedness and maximum principles for lattice reaction-diffusion equations
Advances in Nonlinear Analysis, 2017 Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations.
Slavík Antonín +2 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth‐order partial difference equation via linking theorem and saddle point theorem. Our obtained results significantly generalize and improve some existing ones.
Dan Li, Yuhua Long, Ji Gao
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Veterinary Dermatology, Volume 35, Issue 6, Page 652-661, December 2024.Background – Mycophenolate is an immunomodulating agent successfully used for the treatment of moderate‐to‐severe atopic dermatitis (AD) in people. Mycophenolate is an effective steroid‐sparing treatment option for use in dogs with inflammatory skin diseases.
Michael Klotsman +5 more
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Homoclinic solutions in periodic partial difference equations
Advances in Nonlinear AnalysisBy using critical point theory in combination with periodic approximations, we obtain novel sufficient conditions for the existence of nontrivial homoclinic solutions for a class of periodic partial difference equations with sign-changing mixed ...
Mei Peng, Zhou Zhan, Yu Jianshe
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