Results 31 to 40 of about 110 (109)
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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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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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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Nonresonance conditions for fourth order nonlinear boundary value problems
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 725-740, 1994., 1994 This paper is devoted to the study of the problem We assume that f can be written under the form where r is a bounded function. We obtain existence conditions related to uniqueness conditions for the solution of the linear problem
C. De Coster, C. Fabry, F. Munyamarere
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International Journal of Stochastic Analysis, Volume 7, Issue 1, Page 1-12, 1994., 1993 We discuss the existence, uniqueness, and continuous dependence on data, of anti‐periodic traveling wave solutions to higher order two‐dimensional equations of Korteweg‐deVries type.
Sergiu Aizicovici +2 more
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