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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...
New Trends on Nonlocal and Functional Boundary Value Problems
Infante, Gennaro; Ma, To Fu; Minhós, FelizIn the last decades, boundary value problems with nonlocal and functional boundary conditions have become a rapidly growing area of research. The study of this type of problems not only has a theoretical interest that includes a huge variety of differential, integrodifferential, and abstract equations, but also is motivated by the fact that these problems can be used as a model for several phenomena in engineer...
Non-negative solutions of systems of ODEs with coupled boundary conditions
Infante, Gennaro; Minhós, Feliz; Pietramala, PaolamariaWe provide a new existence theory of multiple positive solutions valid for a wide class of systems of boundary value problems that possess a coupling in the boundary conditions. Our conditions are fairly general and cover a large number of situations. The theory is illustrated in details in an example. The approach relies on classical fixed point index.
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...
Nonlocal Boundary Value Problems - Editorial
Franco, Daniel; Infante, Gennaro; Minhós, FelizEditorial of the Special Issue Nonlocal Boundary Value Problems of Jornal Boundary Value Problems
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