Results 41 to 50 of about 623 (125)
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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Existence of periodic solutions with prescribed minimal period of a 2nth-order discrete system
Open Mathematics, 2019 In this paper, we concern with a 2nth-order discrete system. Using the critical point theory, we establish various sets of sufficient conditions for the existence of periodic solutions with prescribed minimal period. To the best of our knowledge, this is
Liu Xia, Zhou Tao, Shi Haiping
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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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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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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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Multiplicity of positive solutions to second-order singular differential equations with a parameter
, 2014 We study the existence and multiplicity of positive periodic solutions for second-order nonlinear damped differential equations by combing the analysis of positiveness of the Green function for a linear damped equation.
Shengjun Li, F. Liao, Hailong Zhu
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The analogue of the Floquet-Lyapunov theorem for the linear differential systems of the special kind
Researches in Mathematics and Mechanics, 2018 The analogue of the well known in the theory of the linear differential systems Floquet’s– Lyapunov’s theorem are constructed by the certain condidtions for the linear differential system, whose coefficients are represented as an absolutely and uniformly
S. Shchogolev
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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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Local dynamics for fibered holomorphic transformations [PDF]
, 2007 Fibered holomorphic dynamics are skew-product transformations over an irrational rotation, whose fibers are holomorphic functions. In this paper we study such a dynamics on a neighborhood of an invariant curve. We obtain some results analogous to the results in the non fibered case.
arxiv +1 more source