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Your search keyword '"Meilin Zheng"' showing total 2 results
Start Over Author "Meilin Zheng" Journal advances in difference equations
2 results on '"Meilin Zheng"'

1. RETRACTED ARTICLE: Landesman-Lazer type condition for second-order differential equations at resonance with impulsive effects

Author

Meilin Zheng and Jin Li

Subjects
Stochastic partial differential equation, Examples of differential equations, Algebra and Number Theory, Linear differential equation, Differential equation, Applied Mathematics, Collocation method, Ordinary differential equation, Mathematical analysis, C0-semigroup, Analysis, Mathematics, Numerical partial differential equations
Abstract

In this paper, we study the existence of periodic solutions of second-order impulsive differential equations at resonance. We prove the existence of periodic solutions under a generalized Landesman-Lazer type condition by using the variational method. The impulses can generate a periodic solution.

Published
2014

2. Nontrivial homoclinic solutions for prescribed mean curvature Rayleigh equations

Author

Jin Li and Meilin Zheng

Subjects
Partial differential equation, Mean curvature, Algebra and Number Theory, Applied Mathematics, Mathematical analysis, Physics::Fluid Dynamics, symbols.namesake, Simultaneous equations, Ordinary differential equation, symbols, Homoclinic orbit, Mathematics::Differential Geometry, Rayleigh scattering, Analysis, Mathematics
Abstract

In this paper, some sufficient conditions on the existence of $2k\pi$ -periodic solutions for a kind of prescribed mean curvature Rayleigh equations are given. Then the existence of nontrivial homoclinic solutions for prescribed mean curvature Rayleigh equations is obtained.

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