Results 21 to 30 of about 10,899 (224)
A generalization of the Schauder fixed point theorem via multivalued contractions
, 2001 Summary: We establish a fixed point theorem for a continuous function \(f:X\to E\), where \(E\) is a Banach space and \(X\subseteq E\). Our result, which involves multivalued contractions, contains the classical Schauder fixed point theorem as a special case. An application is presented.
Paolo Cubiotti, Beatrice Di Bella
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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
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Existence results for impulsive neutral functional differential equations with state-dependent delay [PDF]
, 2009 In this article, we study the existence of mild solutions for a class of impulsive abstract partial neutral functional differential equations with state-dependent delay.
Arjunan, M.M., Kavitha, V.
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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 ...
Babiarz, Artur +2 more
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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
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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
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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
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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
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A Schauder-type fixed point theorem
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Burton, T. A., Zhang, Bo
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Journal of Function Spaces, 2020 In this paper, we establish existence and uniqueness results for a boundary value problem consisting by a nonlinear fractional q-difference equation subject to a new type of boundary condition, combining the fractional Hadamard and quantum integrals. Our
Athasit Wongcharoen +3 more
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