Results 1 to 10 of about 23 (23)
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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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.
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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 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
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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
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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
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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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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
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Commutators in real interpolation with quasi‐power parameters
Abstract and Applied Analysis, Volume 7, Issue 5, Page 239-257, 2002., 2002 The basic higher order commutator theorem is formulated for the real interpolation methods associated with the quasi‐power parameters, that is, the function spaces on which Hardy inequalities are valid. This theorem unifies and extends various results given by Cwikel, Jawerth, Milman, Rochberg, and others, and incorporates some results of Kalton to the
Ming Fan
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Periodic solutions of systems with asymptotically even nonlinearities
International Journal of Stochastic Analysis, Volume 13, Issue 1, Page 41-50, 2000., 2000 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” terms are obtained for the 2π‐periodic problem for the scalar equation x″ + n2x = g(|x|) + f(t, x) + b(t) with bounded g(u) and f(t, x) → 0 as |x| → 0.
Peter E. Kloeden +1 more
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