Results 41 to 50 of about 933 (103)
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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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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Anti-Periodic Boundary Value Problem for Impulsive Fractional Integro Differential Equations [PDF]
, 2010 MSC 2010: 34A37, 34B15, 26A33, 34C25, 34K37In this paper we prove the existence of solutions for fractional impulsive differential equations with antiperiodic boundary condition in Banach spaces.
Anguraj, A., Karthikeyan, P.
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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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, 2007 We study the stability and exact multiplicity of periodic solutions of the Duffing equation with cubic nonlinearities. We obtain sharp bounds for h such that the equation has exactly three ordered T-periodic solutions.
Chen, Hongbin, Li, Yi
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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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