Existence of positive solutions for boundary-value problems with integral boundary conditions and sign changing nonlinearities.
Existence of positive solutions for non local -Laplacian thermistor problems on time scales.
Existence of positive solutions for nonlinear dynamic systems with a parameter on a measure chain.
Existence of positive solutions for -Laplacian three-point boundary-value problems on time scales.
Existence of positive solutions for semipositone dynamic system on time scales.
Existence of positive solutions for semipositone higher-order BVPS on time scales.
Existence of positive solutions for singular eigenvalue problems.
Existence of positive solutions for singular fractional differential equations.
Existence of positive solutions for singular second order boundary value problems.
Existence of positive solutions for two nonlinear eigenvalue problems.
Existence of positive solutions of a discrete elastic beam equation.
Existence of positive solutions to vector boundary value problems. II.
Existence of positive solutions to vector boundary value problems. I.
Existence of solution for third order m-point boundary value problem.
Existence of solution to nonlinear boundary value problem for ordinary differential equation of the second order in Hilbert space
In this paper we deal with the boundary value problem in the Hilbert space. Existence of a solutions is proved by using the method of lower and upper solutions. It is not necessary to suppose that the homogeneous problem has only the trivial solution. We use some results from functional analysis, especially the fixed-point theorem in the Banach space with a cone (Theorem 4.1, [5]).
Existence of solutions for a certain differential inclusion of third order.
Existence of solutions for a class of boundary value problems for the equation
Existence of solutions for a class of damped vibration problems on time scales.
Existence of solutions for a class of first order boundary value problems
In this work, we are interested in the existence of solutions for a class of first order boundary value problems (BVPs for short). We give new sufficient conditions under which the considered problems have at least one solution, one nonnegative solution and two non trivial nonnegative solutions, respectively. To prove our main results we propose a new approach based upon recent theoretical results. The results complement some recent ones.
Existence of solutions for a class of fourth-order -point boundary value problems.