Results 1 to 10 of about 48 (44)
An Innovative Approach to the Product of k-Hybrid Functional Integral Equation
Abstract and Applied AnalysisMSC2020 Classification: 46E30, 45G10, 47H30, 47N20, and ...
A. M. A. El-Sayed, Sh. M. Al-Issa
doaj +3 more sources
Periodic solutions of systems with asymptotically even nonlinearities [PDF]
International Journal of Stochastic Analysis, Volume 13, Issue 1, Page 41-50, 2000., 2010 New conditions of solvability based on a general theorem on the calculation of the index at infinity for vector fields that have degenerate principal linear part as well as degenerate ... next order ...
Kloeden, Peter E. +1 more
core +2 more sources
Approximating solutions of Hammerstein type equations in Banach spaces
Quaestiones Mathematicae, 2019 Let X be a real Banach space and X* be its dual. Let F : X → X* and K : X → X* be Lipschitz monotone mappings. In this paper an explicit iterative scheme is constructed for approximating solutions of the Hammerstein type equation, 0 = u + KFu; when they ...
Abebe Regassa Tufa, Habtu Zegeye
exaly +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.
doaj +1 more source
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
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.
doaj +1 more source
Some approximation properties of Urysohn type nonlinear operators [PDF]
, 2019 The central issue of this paper is to continue the investigation of convergence properties of Urysohn type operators. By using Urysohn type operators we will extend the theory of interpolation to functionals and operators.
KARSLI, Harun
core +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
doaj +1 more source
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