Results 1 to 10 of about 230 (67)
A positive fixed point theorem with applications to systems of Hammerstein integral equations [PDF]
Boundary Value Problems, 2014 We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions ...
Cabada, Alberto +2 more
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A fixed point theorem for nonautonomous type superposition operators and integrable solutions of a general nonlinear functional integral equation [PDF]
Journal of Inequalities and Applications, 2014 We first establish a new fixed point theorem for nonautonomous type superposition operators. After that, we prove the existence of integrable solutions for a general nonlinear functional integral equation in an L1 space on an unbounded interval by using ...
Fuli Wang
core +3 more sources
Demonstratio Mathematica, 2021 In this work, we study the existence of one and exactly one solution x∈C[0,1]x\in C\left[0,1], for a delay quadratic integral equation of Volterra-Stieltjes type.
El-Sayed Ahmed M. A., Omar Yasmin M. Y.
doaj +1 more source
Demonstratio Mathematica, 2020 The existence of a.e. monotonic solutions for functional quadratic Hammerstein integral equations with the perturbation term is discussed in Orlicz spaces.
Metwali Mohamed M. A.
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Advanced Nonlinear Studies, 2021 The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case ...
Goodrich Christopher S.
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A note on truncations in fractional Sobolev spaces [PDF]
, 2017 We study the Nemytskii operators $u\mapsto |u|$ and $u\mapsto u^{\pm}$ in fractional Sobolev spaces $H^s(\mathbb R^n)$, $s>1$.Comment: 9 ...
Musina, Roberta, Nazarov, Alexander I.
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On a weakly singular quadratic integral equations of Volterra type in Banach algebras
Advances in Differential Equations, 2014 In this paper, we present existence and uniqueness theorems of nonnegative, asymptotically stable, and ultimately nondecreasing solutions for weakly singular quadratic integral equations of Volterra type in Banach algebras.
Xiulan Yu, Chun Zhu, Jinrong Wang
semanticscholar +2 more sources
Variational approach to a class of impulsive differential equations
Boundary Value Problems, 2014 In this article, the author discusses the existence of solutions for a class of impulsive differential equations by means of a variational approach different from earlier approaches.MSC:34B37, 45G10, 47H30, 47J30.
D. Guo
semanticscholar +2 more sources
A sharpness result for powers of Besov functions
Journal of Function Spaces, Volume 2, Issue 3, Page 267-277, 2004., 2004 A recent result of Kateb asserts that f∈Bp,qs(ℝn) implies |f|μ∈Bp,qs(ℝn) as soon as the following three conditions hold: (1) 0≺s≺μ + (1/p), (2) f is bounded, (3) μ≻1. By means of counterexamples, we prove that those conditions are optimal.
Gérard Bourdaud, Jürgen Appell
wiley +1 more source
Uniform continuity and Brézis–Lieb-type splitting for superposition operators in Sobolev space
Advances in Nonlinear Analysis, 2018 Using concentration-compactness arguments, we prove a variant of the Brézis–Lieb-Lemma under weaker assumptions on the nonlinearity than known before.
Ackermann Nils
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