Results 11 to 20 of about 214 (54)
Nonincreasing Solutions for Quadratic Integral Equations of Convolution Type
Journal of Mathematics and Applications, 2019 We study a nonlinear quadratic integral equation of Convolution type in the Banach space of real functions defined and continuous on a bounded and closed interval.
W. El-Sayed, A. El-Mowla
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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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Uniformly continuous composition operators in the space of bounded Φ-variation functions in the Schramm sense [PDF]
, 2012 We prove that any uniformly continuous Nemytskii composition operator in the space of functions of bounded generalized \(\Phi\)-variation in the Schramm sense is affine. A composition operator is locally defined.
José L. Sánchez +3 more
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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
wiley +1 more source
Nonexistence of positive solutions of nonlinear boundary value problems [PDF]
, 2012 We discuss the nonexistence of positive solutions for nonlinear boundary value problems. In particular, we discuss necessary restrictions on parameters in nonlocal problems in order that (strictly) positive solutions exist.
Webb, Jeff
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ON THE WEAK SOLUTIONS OF THE URYSOHN-STIELTJES FUNCTIONAL INTEGRAL EQUATIONS
, 2018 The analysis of Urysohn-Stieltjes integral operators has been studied in [1]. Here we study the existence of weakly solution of functional integral equations of Urysohn-Stieltjes type and Hammerstien-Stieltjes type in the reflexive Banach space E.
A. El-Sayed, M. M. Al-Fadel
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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
wiley +1 more source
, 2017 We investigate the Nemytskij (composition, superposition) operators acting between Banach spaces of -times differentiable functions defined on the closed intervals of the real line with the -derivatives satisfying a generalized Hölder condition. The main
M. Lupa, Małgorzata Wróbel
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On the composition of functions in multidimensional Besov spaces
, 2017 For the composition operator Tf : g → f ◦ g we find a class of functions f : R → R for which there exists a family of positive constants c( f ,t) , t > 0 , such that the estimate ‖Tf (g)‖Bsp,q(Rn) c( f ,t)‖g‖Bsp,q (Rn) holds, for all g ∈W 1 ∞ ∩Bp,q(R ...
M. Moussai
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