Results 21 to 30 of about 775 (171)

Asymptotic stability in the Schauder fixed point theorem [PDF]

open access: yesStudia Mathematica, 1998
Summary: This note presents a theorem which gives an answer to a conjecture which appears in the book ``Matrix norms and their applications'' by \textit{G. R. Belitskij} and \textit{Yu. I. Lyubich} (1988; Zbl 0645.15019) and concerns the global asymptotic stability in the Schauder fixed point theorem.
Shih, Mau-Hsiang, Wu, Jinn-Wen
openaire   +1 more source

Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of q

open access: yesJournal of Applied Mathematics, 2013
We study a new class of three-point boundary value problems of nonlinear second-order q-difference equations. Our problems contain different numbers of q in derivatives and integrals.
Thanin Sitthiwirattham   +2 more
doaj   +1 more source

Uniqueness in the Schauder fixed point theorem [PDF]

open access: yesProceedings of the American Mathematical Society, 1976
A condition is given which guarantees the uniqueness of the fixed point in the Brouwer and Schauder fixed point theorems. The result is applied to a nonlinear boundary value problem in physiology. 1. Let X be a real Banach space with a bounded convex open subset D, and let F: D -b D be a continuous function which is also assumed to be compact if X is ...
openaire   +2 more sources

Fixed point theorems in locally convex spaces—the Schauder mapping method

open access: yesFixed Point Theory and Applications, 2006
In the appendix to the book by F. F. Bonsal, Lectures on Some Fixed Point Theorems of Functional Analysis (Tata Institute, Bombay, 1962) a proof by Singbal of the Schauder-Tychonoff fixed point theorem, based on a locally convex variant of Schauder ...
Cobzaş S
doaj   +2 more sources

Nonlocal Sequential Boundary Value Problems for Hilfer Type Fractional Integro-Differential Equations and Inclusions

open access: yesMathematics, 2021
In the present research, we study boundary value problems for fractional integro-differential equations and inclusions involving the Hilfer fractional derivative.
Nawapol Phuangthong   +3 more
doaj   +1 more source

Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations [PDF]

open access: yesJournal of Applied Mathematics, 2014
We study the existence of positive periodic solutions of second-order singular differential equations. The proof relies on Schauder’s fixed point theorem. Our results generalized and extended those results contained in the studies by Chu and Torres (2007) and Torres (2007) .
Cao, Zhongwei   +2 more
openaire   +3 more sources

On pantograph multi-point boundary value problem with Caputo q-fractional derivative [PDF]

open access: yesMathematica Moravica
The purpose of this research is to investigate the existence and uniqueness of several solutions to the multi-point boundary value problem of nonlinear fractional differential equations involving two fractional derivatives.
Bouzid Houari   +2 more
doaj   +1 more source

Systems of Hilfer–Hadamard Fractional Differential Equations with Nonlocal Coupled Boundary Conditions

open access: yesFractal and Fractional, 2023
We study the existence and uniqueness of solutions for a system of Hilfer–Hadamard fractional differential equations. These equations are subject to coupled nonlocal boundary conditions that incorporate Riemann–Stieltjes integrals and a range of Hadamard
Alexandru Tudorache, Rodica Luca
doaj   +1 more source

Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions

open access: yesAbstract and Applied Analysis, 2014
This paper studies the existence results for nonseparated boundary value problems of fractional differential equations with fractional impulsive conditions.
Xi Fu, Xiaoyou Liu
doaj   +1 more source

Existence, stability and global attractivity results for nonlinear Riemann-Liouville fractional differential equations

open access: yesCubo, 2023
Existence, attractivity, and stability of solutions of a non-linear fractional differential equation of Riemann-Liouville type are proved using the classical Schauder fixed point theorem and a fixed point result due to Dhage.
Bapurao C. Dhage   +2 more
doaj   +1 more source

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