Expansion-compression fixed point theorem of Leggett-Williams type for the sum of two operators and applications for some classes of BVPs [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2023 The purpose of this work is to establish an extension of a Leggett- Williams type expansion-compression fixed point theorem for a sum of two operators. As illustration, our approach is applied to prove the existence of non-trivial, nonnegative solutions ...
Salim Benslimane +2 more
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Existence of a positive solution to a right focal boundary value problem [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2010 In this paper we apply the recent extension of the Leggett-Williams Fixed Point Theorem which requires neither of the functional boundaries to be invariant to the second order right focal boundary value problem.
Richard Avery +2 more
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Triple solutions for a nonlocal functional boundary value problem by leggett–williams theorem
Applicable Analysis, 2004 Applicable ...
George L. Karakostas +2 more
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Generalization for Amann's and Leggett–Williams' three-solution theorems and applications
Journal of Mathematical Analysis and Applications, 2004 Let \(X\) be a nonempty closed convex subset of a real ordered Banach space \(E\) and \(A:X \to X\) a completely continuous operator. The authors give conditions for \(A\) to have at least three fixed points. The results generalize those of \textit{H. Amann} [J. Funct. Anal. 11, 346--384 (1972; Zbl 0244.47046)], \textit{R. W. Leggett} and \textit{L. R.
Guodong Han
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Two modifications of the Leggett-Williams fixed point theorem and their applications
Electronic Journal of Differential Equations, 2010 This article presents two modifications of the Leggett-Williams fixed point theorem, and two applications of these results to a terminal and to a boundary value problem for ordinary differential equations.
Kyriakos G. Mavridis
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Functional expansion - compression fixed point theorem of Leggett-Williams type
Electronic Journal of Differential Equations, 2010 This paper presents a fixed point theorem of compression and expansion of functional type in the spirit of the original fixed point work of Leggett-Williams.
Douglas R. Anderson +2 more
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Leggett-Williams fixed point theorem type for sums of operators and application in PDEs [PDF]
Differential Equations & Applications, 2021 Summary: In this paper we present an extension of the original version of Leggett-Williams fixed point theorem for a \(k\)-set contraction perturbed by an expansive operator. Our approach is applied to prove the existence of non trivial positive solutions for initial value problems (IVPs for short) covering a class two-dimensional nonlinear wave ...
Svetlin G. Georgiev, Karima Mebarki
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Some fixed point theorems of Leggett-Williams type [PDF]
Rocky Mountain Journal of Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Richard I. Avery +2 more
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Existence of Three Positive Solutions to Some p-Laplacian Boundary Value Problems [PDF]
Discrete Dynamics in Nature and Society, 2013 We obtain, by using the Leggett-Williams fixed point theorem, sufficient conditions that ensure the existence of at least three positive solutions to some p-Laplacian boundary value problems on time scales.
Moulay Rchid Sidi Ammi +1 more
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Existence of Three Solutions to Integral and Discrete Equations via the Leggett Williams Fixed Point Theorem [PDF]
Rocky Mountain Journal of Mathematics, 2001 Criteria are developed for the existence of three nonnegative solutions to integral and discrete equations. The strategy involves using the Leggett Williams fixed point theorem.
Ravi P. Agarwal, Donal O’Regan
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