A numerical method for a singularly perturbed three-point boundary value problem.
A Numerical Method to Boundary Value Problems for Second Order Delay Differential Equations.
A periodic boundary value problem in Hilbert space
In the paper some existence results for periodic boundary value problems for the ordinary differential equation of the second order in a Hilbert space are given. Under some auxiliary assumptions the set of solutions is compact and connected or it is convex.
A perspective on the contributions of Alan C. Lazer to critical point theory.
A Petrov-Galerkin approximation of convection-diffusion and reaction-diffusion problems
A general construction of test functions in the Petrov-Galerkin method is described. Using this construction; algorithms for an approximate solution of the Dirichlet problem for the differential equation are presented and analyzed theoretically. The positive number is supposed to be much less than the discretization step and the values of . An algorithm for the corresponding two-dimensional problem is also suggested and results of numerical tests are introduced.
A positive solution for singular discrete boundary value problems with sign-changing nonlinearities.
A posteriori error estimation for arbitrary order FEM applied to singularly perturbed one-dimensional reaction-diffusion problems
FEM discretizations of arbitrary order are considered for a singularly perturbed one-dimensional reaction-diffusion problem whose solution exhibits strong layers. A posteriori error bounds of interpolation type are derived in the maximum norm. An adaptive algorithm is devised to resolve the boundary layers. Numerical experiments complement our theoretical results.
A priori estimates and solvability of a non-resonant generalized multi-point boundary value problem of mixed Dirichlet-Neumann-Dirichlet type involving a -Laplacian type operator
This paper is devoted to the problem of existence of a solution for a non-resonant, non-linear generalized multi-point boundary value problem on the interval . The existence of a solution is obtained using topological degree and some a priori estimates for functions satisfying the boundary conditions specified in the problem.
A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations.
A priori estimates for the existence of a solution for a multi-point boundary value problem.
A radially symmetric anti-maximum principle and applications to fishery management models.
A Refinement Process for Collocation Approximations.
A remark on a nonlinear boundary value problem of the third order
A remark on the existence of small solutions to a fourth order boundary value problem with large nonlinearity
A remark to a multipoint boundary value problem
A resonance problem for nonlinear Duffing equation
A reversed Poincaré inequality for monotone functions.
A sampling theorem associated with boundary-value problems with not necessarily simple eigenvalues.
A second order ODE with a nonlinear final condition.
A second-order boundary value problem with nonlinear and mixed boundary conditions: existence, uniqueness, and approximation.