Results 21 to 30 of about 775 (171)
Asymptotic stability in the Schauder fixed point theorem [PDF]
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
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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
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Uniqueness in the Schauder fixed point theorem [PDF]
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 ...
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Fixed point theorems in locally convex spaces—the Schauder mapping method
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
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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
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Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations [PDF]
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
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On pantograph multi-point boundary value problem with Caputo q-fractional derivative [PDF]
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
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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
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Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions
This paper studies the existence results for nonseparated boundary value problems of fractional differential equations with fractional impulsive conditions.
Xi Fu, Xiaoyou Liu
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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
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