Nonlinear boundary value problems at resonance for differential equations in Banach spaces
Nonlinear boundary value problems for differential inclusions y'' ∈ F(t,y,y')
Applying the topological transversality method of Granas and the a priori bounds technique we prove some existence results for systems of differential inclusions of the form y'' ∈ F(t,y,y'), where F is a Carathéodory multifunction and y satisfies some nonlinear boundary conditions.
Nonlinear boundary value problems for ordinary differential equations [Book]
Nonlinear boundary value problems for second order differential inclusions
In this paper we study two boundary value problems for second order strongly nonlinear differential inclusions involving a maximal monotone term. The first is a vector problem with Dirichlet boundary conditions and a nonlinear differential operator of the form . In this problem the maximal monotone term is required to be defined everywhere in the state space . The second problem is a scalar problem with periodic boundary conditions and a differential operator of the form . In this case the maximal...
Nonlinear discrete periodic boundary value problems at resonance.
Nonlinear eigenvalue problems for fourth order ordinary differential equations
This paper was inspired by the works of Chiappinelli ([3]) and Schmitt and Smith ([7]). We study the problem ℒu = λau + f(·,u,u',u'',u''') with separated boundary conditions on [0,π], where ℒ is a composition of two operators of Sturm-Liouville type. We assume that the nonlinear perturbation f satisfies the inequality |f(x,u,u',u'',u''')| ≤ M|u|. Because of the presence of f the considered equation does not in general have a linearization about 0. For this reason the global bifurcation theorem of...
Nonlinear eigenvalue problems for higher order Lidstone boundary value problems.
Nonlinear eigenvalue problems with the parameter near resonance
Nonlinear equations with noninvertible linear part
Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces
We consider a nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in a Banach space. The existence of at least one solution is proved by using the set-valued analog of Mönch fixed point theorem associated with the technique of measures of noncompactness.
Nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions
This article studies a boundary value problem of nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions. Some existence results are obtained via fixed point theorems. The cases of convex-valued and nonconvex-valued right hand sides are considered. Several new results appear as a special case of the results of this paper.
Nonlinear functional Sturm-Liouville equations
Nonlinear Leray-Schauder alternatives and application to nonlinear problem arising in the theory of growing cell population
Motivated by a mathematical model of an age structured proliferating cell population, we state some new variants of Leray-Schauder type fixed point theorems for (ws)-compact operators. Further, we apply our results to establish some new existence and locality principles for nonlinear boundary value problem arising in the theory of growing cell population in L 1-setting. Besides, a topological structure of the set of solutions is provided.
Nonlinear models of suspension bridges: discussion of the results
In this paper we present several nonlinear models of suspension bridges; most of them have been introduced by Lazer and McKenna. We discuss some results which were obtained by the authors and other mathematicians for the boundary value problems and initial boundary value problems. Our intention is to point out the character of these results and to show which mathematical methods were used to prove them instead of giving precise proofs and statements.
Nonlinear multivalued boundary value problems
In this paper, we study nonlinear second order differential inclusions with a multivalued maximal monotone term and nonlinear boundary conditions. We prove existence theorems for both the convex and nonconvex problems, when and , with A being the maximal monotone term. Our formulation incorporates as special cases the Dirichlet, Neumann and periodic problems. Our tools come from multivalued analysis and the theory of nonlinear monotone operators.
Nonlinear Neumann boundary value problem with -Laplacian.
Nonlinear periodic systems with the -Laplacian: existence and multiplicity results.
Nonlinear scalar two-point boundary-value problems on time scales.
Nonlinear singular Navier problem of fourth order.
Nonlinear SPP with nonlocal boundary conditions and spectral approximation.