FIXED POINT THEOREMS FOR CONDENSING MAPPINGS SATISFYING LERAY-SCHAUDER TYPE CONDITIONS
Communications of the Korean Mathematical Society, 2016 Shaini Pulickakunnel +1 more
exaly +3 more sources
On the Asymptotic Integration of Nonlinear Dynamic Equations
Advances in Difference Equations, 2008 The purpose of this paper is to study the existence and asymptotic behavior of solutions to a class of second-order nonlinear dynamic equations on unbounded time scales.
Toufik Moussaoui +3 more
doaj +2 more sources
Qualitative approximation of solutions to difference equations [PDF]
, 2015 We present a new approach to the theory of asymptotic properties of solutions of difference equations. Usually, two sequences $x,y$ are called asymptotically equivalent if the sequence $x-y$ is convergent to zero i.e., $x-y\in c_0$, where $c_0$ denotes ...
Migda, Janusz
core +7 more sources
Recent Existence Results for Second-Order Singular Periodic Differential Equations
Boundary Value Problems, 2009 We present some recent existence results for second-order singular periodic differential equations. A nonlinear alternative principle of Leray-Schauder type, a well-known fixed point theorem in cones, and Schauder's fixed point theorem are used in ...
Juan J. Nieto, Jifeng Chu
doaj +2 more sources
Schauder’s fixed-point theorem in approximate controllability problems [PDF]
International Journal of Applied Mathematics and Computer Science, 2016 Abstract The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces. The presented investigation focuses on obtaining sufficient conditions for approximate controllability of various types of dynamic systems using Schauder’s fixed-point ...
Artur Babiarz +2 more
openaire +3 more sources
Positive solutions for multi point impulsive boundary value problems on time scales [PDF]
, 2019 In this paper, we consider nonlinear second-order multi-point impulsive boundary value problems on time scales. We establish the criteria for the existence of at least one, two and three positive solutions by using the Leray-Schauder fixed point theorem,
Yaslan, İsmail
core +1 more source
Weak solutions to Allen-Cahn-like equations modelling consolidation of porous media [PDF]
, 2016 We study the weak solvability of a system of coupled Allen--Cahn--like equations resembling cross--diffusion which is arising as a model for the consolidation of saturated porous media.
Cirillo, Emilio Nicola Maria +2 more
core +2 more sources
On the existence, uniqueness and parametric dependence on the coefficients of the solution processes in McShane's stochastic integral equations [PDF]
, 1994 In this paper we use the Schauder fixed point theorem and methods of integral inequalities in order to prove a result on the existence, uniqueness and parametric dependence on the coefficients of the solution processes in McShane stochastic integral ...
Constanti N., Adrian
core +2 more sources
Poisson problems for semilinear Brinkman systems on Lipschitz domains in Rn [PDF]
, 2015 The purpose of this paper is to combine a layer potential analysis with the Schauder fixed point theorem to show the existence of solutions of the Poisson problem for a semilinear Brinkman system on bounded Lipschitz domains in Rn (n 65 2) with ...
Kohr, Mirela +2 more
core +1 more source