Three point boundary value problem for singularly perturbed semilinear differential equations.
Singularly perturbed semilinear Neumann problem with non-normally hyperbolic critical manifold.
Nonlocal four-point boundary value problem for the singularly perturbed semilinear differential equations.
A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations.
Quasilinear and quadratic singularly perturbed periodic boundary value problem
The problem of existence and asymptotic behavior of solutions of the quasilinear and quadratic singularly perturbed periodic boundary value problem as a small parameter at highest derivative tends to zero is studied.
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 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.
Quasilinear and quadratic singularly perturbed Neumann's problem
The problem of existence and asymptotic behaviour of solutions of the quasilinear and quadratic singularly perturbed Neumann's problem as a small parameter at the highest derivative tends to zero is studied.
Asymptotic behavior of -periodic solutions of singularly perturbed second-order differential equation
Upper and lower solutions for singularly perturbed semilinear Neumann's problem
The paper establishes sufficient conditions for the existence of solutions of Neumann’s problem for the differential equation which tend to the solution of the reduced problem on as
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