Boundary and initial value problems for second-order neutral functional differential equations.
Boundary behavior of blow-up solutions to some weighted nonlinear differential equations.
Boundary behavior of potentials
Boundary controllability of nonlinear fractional integrodifferential systems.
Boundary Data Maps for Schrödinger Operators on a Compact Interval
We provide a systematic study of boundary data maps, that is, 2 × 2 matrix-valued Dirichlet-to-Neumann and more generally, Robin-to-Robin maps, associated with one-dimensional Schrödinger operators on a compact interval [0, R] with separated boundary conditions at 0 and R. Most of our results are formulated in the non-self-adjoint context. Our principal results include explicit representations of these boundary data maps in terms of the resolvent...
Boundary layer phenomena for differential-delay equations with state dependent time lags: II.
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 problems of the second order with an indefinite weight-function.
Boundary value and periodic problem for the equation
Boundary value methods for the solution of differential-algebraic equations.
Boundary value problem for an infinite system of second order differential equations in spaces
The concept of measures of noncompactness is applied to prove the existence of a solution for a boundary value problem for an infinite system of second order differential equations in space. We change the boundary value problem into an equivalent system of infinite integral equations and result is obtained by using Darbo’s type fixed point theorem. The result is illustrated with help of an example.
Boundary value problem for differential and difference second order systems
Boundary value problem for differential inclusions in Fréchet spaces with multiple solutions of the homogeneous problem
The paper deals with the multivalued boundary value problem for a.a. , , in a separable, reflexive Banach space . The nonlinearity is weakly upper semicontinuous in . We prove the existence of global solutions in the Sobolev space with endowed with the weak topology. We consider the case of multiple solutions of the associated homogeneous linearized problem. An example completes the discussion.
Boundary value problem for functional differential equations
Boundary Value Problem for Nonlinear Singularity perturbed Systems in Critical case of Exchange of Stability
Boundary value problem for . I: Existence and uniqueness.
Boundary value problem for the second order impulsive delay differential equations
We present some existence and uniqueness result for a boundary value problem for functional differential equations of second order with impulses at fixed points.
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.