Encontrados 14 documentos, a visualizar página 1 de 2
Higher order functional boundary value problems without monotone assumptions
Fialho, João; Minhós, FelizIn this paper, given a L1-Carathéodory function f, it is a considered the functional higher order equation, together with nonlinear functional boundary conditions, for. It will be proved an existence and location result in presence of not necessarily ordered lower and upper solutions,without assuming any monotone properties on the boundary conditions and on the nonlinearity f .
Extremal solutions to fourth order discontinuous functional boundary value prob...
Cabada, Alberto; Fialho, João; Minhós, FelizIn this paper, given f a L1-Carathéodory function, it is considered a functional fourth order equation together with the nonlinear functional boundary conditions given by some functions verifying some adequate monotonicity assumptions and are not necessarily continuous. It will be proved an existence and location result in presence of non ordered lower and upper solutions.
Fourth order impulsive periodic boundary value problems
Fialho, João; Minhós, FelizIn this work it is presented an existence result for the impulsive problem composed a fourth order fully nonlinear equation, along with periodic boundary conditions and some impulsive conditions u x+j = gj u x j , The arguments used apply lower and upper solutions technique combined with an iterative and non monotone technique.
Existence and multiplicity of solutions in fourth order BVPs with unbounded non...
Minhós, Feliz; Fialho, JoãoIn this work the authors present some existence, non-existence and location results of the problem composed of a fourth order fully nonlinear equation with a parameter.In this work it is applied an Ambrosetti-Prodi type approach, with some new features: the existence part is obtained in presence of nonlinearities not necessarily bounded, and in the multiplicity result it is not assumed a speed growth condition ...
MULTIPLICITY AND LOCATION RESULTS FOR SECOND ORDER FUNCTIONAL BOUNDARY VALUE PR...
Fialho, João; Minhós, FelizIn this work it is presented some existence, non-existence and location results for the problem composed by the second order fully nonlinear equation with a real parameter s and functional boundary conditions satisfying some adequate monotonicity assumptions. It will be done a discussion on s about the existence and non-existence of solutions for problem (E)-(BC): More precisely, there are s0; s1 2 R such that...
On higher order fully periodic boundary value problems
Fialho, João; Minhós, FelizIn this paper we present sufficient conditions for the existence of periodic solutions of some higher order fully differential equation where the nonlinear part verifies a Nagumotype growth condition. A new type of lower and upper solutions, eventually non-ordered, allows us to obtain, not only the existence, but also some qualitative properties on the solution. The last section contains two examples to stress ...
Non ordered lower and upper solutions to fourth order functional BVP
Cabada, Alberto; Fialho, João; Minhós, FelizIn this paper, given a L1-Carath éodory function, it is considered the functional fourth order equation u^(iv) (x) = f(x; u; u'; u'' (x) ; u''' (x)) together with the nonlinear functional boundary conditions L_0(u; u'; u''; u (a)) = 0 = L_1(u; u'; u''; u' (a)) L_2(u; u'; u''; u'' (a) ; u''' (a)) = 0 = L_3(u; u'; u''; u'' (b) ; u''' (b)): Here L_i, i = 0; 1; 2; 3, are continuous functions satisfying some adequa...
THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS
Fialho, João; Minhós, FelizIn this the authors consider a nonlinear fourth order fully equation coupled with the Lidstone boundary conditions, We discuss how di erent de nitions of lower and upper solutions can generalize existence and location results for boundary value problems with Lidstone boundary data. In addition, it is replaced the usual bilateral Nagumo condition by a one-sided condition, allowing the nonlinearity to be unbounde...
On lower and upper solutions method for higher order functional boundary value ...
Minhós, Feliz; Graef, John; Kong, Lingju; Fialho, JoãoThe main result establishes suffi cient conditions for the existence of solutions in some location sets for the solution of higher order functional boundary value problems. Moreover, it is shown how the monotone properties of the nonlinearity and the boundary functions depend on n and upon the relation between lower and upper solutions and their derivatives.
On the solvability of some fourth-order equations with functional boundary cond...
Minhos, Feliz; Fialho, JoãoIn this paper it is considered a fourth order problem composed of a fully nonlinear differential equation and functional boundary conditions satisfying some monotone conditions.This functional dependence on u; u0 and u00and generalizes several types of boundary conditions such as Sturm-Liouville, multipoint, maximum and/or minimum arguments, or nonlocal. The main theorem is an existence and location result as i...
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