An existence theorem of the Leray-Schauder type for four-point boundary value problems
An extended method of quasilinearization for nonlinear impulsive differential equations with a nonlinear three-point boundary condition.
An optimal existence theorem for positive solutions of a four-point boundary value problem.
Another understanding of fourth-order four-point boundary-value problems.
Approximation of solution of some -point boundary value problems on time scales.
Approximation of solutions of the forced duffing equation with nonlocal discontinuous type integral boundary conditions
A generalized quasilinearization technique is applied to obtain a sequence of approximate solutions converging monotonically and quadratically to the unique solution of the forced Duffing equation with nonlocal discontinuous type integral boundary conditions.
Boundary layer phenomenon for three -point boundary value problem for the nonlinear singularly perturbed systems
This paper deals with the three-point boundary value problem for the nonlinear singularly perturbed second-order systems. Especially, we focus on an analysis of the solutions in the right endpoint of considered interval from an appearance of the boundary layer point of view. We use the method of lower and upper solutions combined with analysis of the integral equation associated with the class of nonlinear systems considered here.
Boundary problems for generalized Lyapunov equations.
Boundary value problems for generalized Lyapunov equations whose coefficients are time-dependant bounded linear operators defined on a separable complex Hilbert space are studied. Necessary and sufficient conditions for the existence of solutions and explicit expressions of them are given.
Boundary value problem with an inner point for the singularly perturbed semilinear differential equations
In this paper we investigate the problem of existence and asymptotic behavior of solutions for the nonlinear boundary value problem satisfying three point boundary conditions. Our analysis relies on the method of lower and upper solutions and delicate estimations.
Boundary value problems for generalized linear differential equations
Boundary value problems for generalized linear integrodifferential equations with left-continuous solutions
Boundary value problems for higher order ordinary differential equations
Let be a Carath’eodory’s function. Let , with , and be two real sequences. In this paper, the family of boundary value problems is considered. It is proved that these boundary value problems admit at least a solution for each , where is a suitable integer. Some particular cases, obtained by specializing the sequence , are pointed out. Similar results are also proved for the Picard problem.
Boundary value problems for linear differential equations of operators
Boundary value problems for third order differential equations by solution matching.
Boundary-value problems for ordinary differential equations with matrix coefficients containing a spectral parameter.
Bounded solutions for singular boundary value problems
Comparison between the variational iteration method and the homotopy perturbation method for the Sturm-Liouville differential equation.
Comparison of eigenvalues for a fourth-order four-point boundary value problem.
Conditioning of three-point boundary value problems associated with first order matrix Lyapunov systems.
Conditions for existence and uniqueness of solutions to multipoint boundary value problems for systems of generalized ordinary differential equations.