Results 1 to 10 of about 214 (54)
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
core +6 more sources
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
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.
core +2 more sources
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
On the solutions of nonlinear initial‐boundary value problems
Abstract and Applied Analysis, Volume 2004, Issue 5, Page 407-424, 2004., 2004 We deal with the general initial‐boundary value problem for a second‐order nonlinear nonstationary evolution equation. The associated operator equation is studied by the Fredholm and Nemitskii operatortheory. Under local Hölder conditions for the nonlinear member, we observe quantitative and qualitative properties of the set of solutions of the given ...
Vladimír Ďurikovič +1 more
wiley +1 more source
On a nonlinear compactness lemma in Lp(0, T; B)
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1725-1730, 2003., 2003 We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic‐parabolic type. This paper was motivated by previous results of Simon (1987), recently sharpened by Amann (2000), in the linear setting, and by a nonlinear compactness argument of Alt and Luckhaus ...
Emmanuel Maitre
wiley +1 more source
Positive solutions of some nonlocal boundary value problems
Abstract and Applied Analysis, Volume 2003, Issue 18, Page 1047-1060, 2003., 2003 We establish the existence of positive solutions of some m‐point boundary value problems under weaker assumptions than previously employed. In particular, we do not require all the parameters occurring in the boundary conditions to be positive. Our results allow more general behaviour for the nonlinear term than being either sub‐ or superlinear.
Gennaro Infante, J. R. L. Webb
wiley +1 more source
Infinite first order differential systems with nonlocal initial conditions [PDF]
, 2014 We discuss the solvability of an infinite system of first order ordinary differential equations on the half line, subject to nonlocal initial conditions.
Infante, Gennaro +2 more
core +2 more sources