Results 11 to 20 of about 230 (67)
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
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
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
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
core +1 more source
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
semanticscholar +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
core +4 more sources