Results 11 to 20 of about 23 (23)
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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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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Some properties of Urysohn‐Stieltjes integral operators
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 79-88, 1998., 1996 We investigate some properties of Urysohn‐Stieltjes integral operators. The assumptions will be formulated under which the operators in question transform the space of coatinuous functions into itself or in the space of functions of bounded variation, are continuous or are compact.
Józef Banaś
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Differential inequalities for hysteresis systems
International Journal of Stochastic Analysis, Volume 9, Issue 4, Page 459-468, 1996., 1996 The theory of differential inequalities is extended to functional‐differential equations with hysteresis nonlinearities. A key feature is the existence of a semiorder of the state space of nonlinearity and a special monotonicity of the righthand side of differential inequality. This article is dedicated to the memory of Roland L. Dobrushin.
Vladimir V. Chernorutskii +1 more
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A new Bihari inequality and initial value problems of first order fractional differential equations. [PDF]
Fract Calc Appl Anal, 2023 Lan K, Webb JRL.
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Uniformly bounded set-valued Nemytskij operators acting between generalized Hölder function spaces
Open Mathematics, 2012 Matkowski Janusz, Wróbel Małgorzata
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