Some theorems on the almost-periodic solutions of discrete dynamical systems
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DOI: 10.1016/j.jde.2021.06.027
Abstract: Abstract In this paper, we are concerned with almost periodic sequences. We study various types of almost periodic sequences arising in the literature and adapt their notions to the parametric framework. Then, similarly to the… read more here.
Keywords: theorems almost; solutions discrete; almost periodic; dynamical systems ... See more keywords
Sign-changing ground state solutions for discrete nonlinear Schrödinger equations
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DOI: 10.1080/10236198.2018.1563601
Abstract: ABSTRACT In this paper, we study the existence of least energy sign-changing solutions and ground state solutions for the discrete nonlinear Schrödinger equation where is a sequence of positive numbers, is a constant. By using… read more here.
Keywords: sign changing; ground state; state solutions; solutions discrete ... See more keywords
Existence of solutions to discrete and continuous second-order boundary value problems via Lyapunov functions and a priori bounds
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DOI: 10.14232/ejqtde.2019.1.42
Abstract: This article analyzes nonlinear, second-order difference equations subject to “left-focal” two-point boundary conditions. Our research questions are: RQ1: What are new, sufficient conditions under which solutions to our “discrete” problem will exist?; RQ2: What, if… read more here.
Keywords: solutions discrete; problem; discrete problem; priori bounds ... See more keywords
Global structure of sign-changing solutions for discrete Dirichlet problems
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DOI: 10.1515/math-2020-0180
Abstract: Abstract Let T > 1 T\gt 1 be an integer, T ≔ [ 1 , T ] Z = { 1 , 2 , … , T } , T ˆ ≔ { 0 ,… read more here.
Keywords: changing solutions; sign; sign changing; solutions discrete ... See more keywords
Infinitely Many Solutions for the Discrete Boundary Value Problems of the Kirchhoff Type
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DOI: 10.3390/sym14091844
Abstract: In this paper, we study the existence and multiplicity of solutions for the discrete Dirichlet boundary value problem of the Kirchhoff type, which has a symmetric structure. By using the critical point theory, we establish… read more here.
Keywords: solutions discrete; kirchhoff type; many solutions; boundary value ... See more keywords