Results 31 to 40 of about 91 (88)
Periodic solutions of a class of non‐autonomous second‐order differential inclusions systems
Abstract and Applied Analysis, Volume 6, Issue 3, Page 151-161, 2001., 2001 Using an abstract framework due to Clarke (1999), we prove the existence of periodic solutions for second‐order differential inclusions systems.
Daniel Paşca
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Homoclinic solutions for a differential inclusion system involving the p(t)-Laplacian
Advances in Nonlinear Analysis, 2022 The aim of this article is to study nonlinear problem driven by the p(t)p\left(t)-Laplacian with nonsmooth potential. We establish the existence of homoclinic solutions by using variational principle for locally Lipschitz functions and the properties of ...
Cheng Jun, Chen Peng, Zhang Limin
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Periodic solutions of nonlinear differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 1, Page 67-71, 2000., 2000 The periodic boundary value problems of a class of nonlinear differential equations are investigated.
Xiaojing Yang
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Abstract and Applied Analysis, Volume 4, Issue 3, Page 169-194, 1999., 1999 We investigate the asymptotic properties of the inhomogeneous nonautonomous evolution equation (d/dt)u(t) = Au(t) + B(t)u(t) + f(t), t ∈ ℝ, where (A, D(A)) is a Hille‐Yosida operator on a Banach space X, B(t), t ∈ ℝ, is a family of operators in ℒ(D(A)¯,X) satisfying certain boundedness and measurability conditions and f∈L loc 1(ℝ,X).
Gabriele Gühring, Frank Räbiger
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In this study, we establish sufficient conditions for the existence and uniqueness of periodic solutions for a generalized nonlinear neutral delay differential equation with infinite delay, using Krasnoselskii’s fixed‐point theorem and the contraction mapping principle. We also prove the asymptotic stability of the trivial solution.
Mohamed Illafe +3 more
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Hopf bifurcations in a three-species food chain system with multiple delays
Open Mathematics, 2017 This paper is concerned with a three-species Lotka-Volterra food chain system with multiple delays. By linearizing the system at the positive equilibrium and analyzing the associated characteristic equation, the stability of the positive equilibrium and ...
Xie Xiaoliang, Zhang Wen
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Periodic solutions of quasi‐differential equations
International Journal of Stochastic Analysis, Volume 9, Issue 1, Page 11-20, 1996., 1995 Existence principles and theorems are established for the nonlinear problem Lu = f(t, u) where Lu=−(pu′) ′+hu is a quasi‐differential operator and f is a Carathéodory function. We prove a maximum principle for the operator L and then we show the validity of the upper and lower solution method as well as the monotone iterative technique.
Abdelkader Boucherif +2 more
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Periodic solutions of some polynomial differential systems in dimension 5 via averaging theory
Nonautonomous Dynamical Systems, 2023 In this article, we provide sufficient conditions for the existence of periodic solutions for the polynomial differential system of the form x˙=−y+εP1(x,y,z,u,v)+h1(t),y˙=x+εP2(x,y,z,u,v)+h2(t),z˙=−u+εP3(x,y,z,u,v)+h3(t),u˙=z+εP4(x,y,z,u,v)+h4(t),v˙=λv ...
Tabet Achref Eddine, Makhlouf Amar
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Existence of periodic solutions for nonlinear Lienard systems
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 265-272, 1995., 1993 We prove the existence and multiplicity of periodic solutions for nonlinear Lienard System of the type under various conditions upon the functions g, h and e.
Wan Se Kim
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Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems
Open MathematicsConsider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
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