Nonlinear two-point boundary value problems (BVPs) may have none or more than one solution. For the singularly perturbed two-point BVP εu″ + 2u′ + f(u) = 0, 0 < x < 1, u(0) = 0, u(1) = 0, a condition is given to have one and only one solution; also cases of more solutions have been analyzed. After attention to the form and validity of the corresponding asymptotic expansions, partially based on slow manifold theory, we reconsider the BVP within the framework of small and large values of the parameter. In the case of a special nonlinearity, numerical bifurcation patterns are studied that improve our understanding of the multivaluedness of the solutions
summary:Given a semilinear elliptic boundary value problem having the zero solution and where the no...
Abstract. In this paper we consider the singularly perturbed Dirichlet problem (Pε), when the potent...
AbstractIn this paper, we are concerned with the existence of single and multiple positive solutions...
nonlinear two-point boundary value problems (BVPs) may have none or more than one solution. For the ...
Under certain conditions on g(x, u) we establish the existence and asymptotic behavior for small ε >...
AbstractConsider the boundary value problem ϵ y′′ = (y2 − t2)y′, − 1 ≤ t ≤ 0, y(− 1) = A, y(0) = B. ...
AbstractWe examine the existence of solutions of the class of singular nonlinear two-point boundary ...
AbstractIn this paper we investigate a class of singular second order differential equations with si...
AbstractAsymptotic solutions to two-point boundary value problems for certain equations of the form ...
AbstractFor a given positive integer N, we provide conditions on the nonlinear function f which guar...
We study existence and uniform asymptotic expansions of solutions of two different classes of singul...
summary:The existence of positive solutions for a nonlocal boundary-value problem with vector-valued...
AbstractThe aim of this note is to establish the existence of three solutions for a perturbed two-po...
We consider a mixed boundary value problem for a system of two second order nonlinear differential e...
We are concerned with multiplicity and bifurcation results for solutions of nonlinear second order d...
summary:Given a semilinear elliptic boundary value problem having the zero solution and where the no...
Abstract. In this paper we consider the singularly perturbed Dirichlet problem (Pε), when the potent...
AbstractIn this paper, we are concerned with the existence of single and multiple positive solutions...
nonlinear two-point boundary value problems (BVPs) may have none or more than one solution. For the ...
Under certain conditions on g(x, u) we establish the existence and asymptotic behavior for small ε >...
AbstractConsider the boundary value problem ϵ y′′ = (y2 − t2)y′, − 1 ≤ t ≤ 0, y(− 1) = A, y(0) = B. ...
AbstractWe examine the existence of solutions of the class of singular nonlinear two-point boundary ...
AbstractIn this paper we investigate a class of singular second order differential equations with si...
AbstractAsymptotic solutions to two-point boundary value problems for certain equations of the form ...
AbstractFor a given positive integer N, we provide conditions on the nonlinear function f which guar...
We study existence and uniform asymptotic expansions of solutions of two different classes of singul...
summary:The existence of positive solutions for a nonlocal boundary-value problem with vector-valued...
AbstractThe aim of this note is to establish the existence of three solutions for a perturbed two-po...
We consider a mixed boundary value problem for a system of two second order nonlinear differential e...
We are concerned with multiplicity and bifurcation results for solutions of nonlinear second order d...
summary:Given a semilinear elliptic boundary value problem having the zero solution and where the no...
Abstract. In this paper we consider the singularly perturbed Dirichlet problem (Pε), when the potent...
AbstractIn this paper, we are concerned with the existence of single and multiple positive solutions...