Results 1 to 10 of about 129 (44)
Existence and Multiplicity of Weak Solutions for a Neumann Elliptic Problem with -Laplacian [PDF]
Nonautonomous Dynamical Systems, 2020 We are interested in the existence of multiple weak solutions for the Neumann elliptic problem involving the anisotropic -Laplacian operator, on a bounded domain with smooth boundary.
Bohner Martin +3 more
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Nonautonomous Dynamical Systems, 2020 The aim of this work is to give sufficient conditions ensuring that the space PAP(, X, µ) of µ-pseudo almost periodic functions and the space PAA(, X, µ) of µ-pseudo almost automorphic functions are invariant by the convolution product f = k * f, k ...
Béssémè Fritz Mbounja +4 more
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Nonautonomous Dynamical Systems, 2018 The purpose of this work is to give sufficient conditions which guarantee the existence and the uniqueness of positive μ-pseudo almost periodic solutions for the nonlinear infinite delay integral equation . We improve the original work of [H. S. Ding, Y.
Ezzinbi Khalil, Ziat Mohamed
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On some classes of almost periodic functions in abstract spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 61, Page 3237-3247, 2004., 2004 We deal with C(n)‐almost periodic functions taking values in a Banach space. We give several properties of such functions, in particular, we investigate their behavior in view of differentiation as well as integration. The superposition operator acting in the space of such functions is also under consideration.
Dariusz Bugajewski +1 more
wiley +1 more source
Abstract and Applied Analysis, Volume 2004, Issue 10, Page 881-896, 2004., 2004 Let u be a given bounded uniformly continuous mild solution of a higher‐order abstract functional differential equation of delay or advance type. We give a so‐called Massera‐type criterion for the existence of a mild solution, which is a “spectral component” of u with spectrum similar to the one of the forcing term f.
Nguyen Van Minh, Ha Binh Minh
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International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 9, Page 573-578, 2002., 2002 In a Banach space, if u is a Stepanov almost periodic solution of a certain nth‐order infinitesimal generator and time‐dependent operator differential equation with a Stepanov almost periodic forcing function, then u, u′, …, u (n−2) are all strongly almost periodic and u (n−1) is weakly almost periodic.
Aribindi Satyanarayan Rao
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Open Mathematics, 2017 This paper is concerned with the existence and uniqueness of asymptotically almost automorphic solutions to differential equations with piecewise constant argument. To study that, we first introduce several notions about asymptotically almost automorphic
Ding Hui-Sheng, Wan Shun-Mei
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Bounded solutions of nonlinear Cauchy problems
Abstract and Applied Analysis, Volume 7, Issue 12, Page 637-661, 2002., 2002 For a given closed and translation invariant subspace Y of the bounded and uniformly continuous functions, we will give criteria for the existence of solutions u ∈ Y to the equation u′(t) + A(u(t)) + ωu(t)∍f(t), t ∈ ℝ, or of solutions u asymptotically close to Y for the inhomogeneous differential equation u′(t) + A(u(t)) + ωu(t)∍f(t), t > 0, u(0) = u0,
Josef Kreulich
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Ergodicity and asymptotically almost periodic solutions of some differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 12, Page 787-801, 2001., 2001 Using ergodicity of functions, we prove the existence and uniqueness of (asymptotically) almost periodic solution for some nonlinear differential equations. As a consequence, we generalize a Massera’s result. A counterexample is given to show that the ergodic condition cannot be dropped.
Chuanyi Zhang
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On the existence of solutions for a class of first‐order differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 1, Page 1-10, 2001., 2001 A system of first‐order differential equations with linear constraint is studied. Existence theorems for the solution are proved under some conditions. Some uniqueness and dependence results for the system are also obtained. Some applications are given.
Kamel Al-Khaled
wiley +1 more source