Solutions and Green's functions for boundary value problems of second-order four-point functional difference equations.
Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green's function for the original surface.
Some sums of Legendre and Jacobi polynomials
We prove identities involving sums of Legendre and Jacobi polynomials. The identities are related to Green’s functions for powers of the invariant Laplacian and to the Minakshisundaram-Pleijel zeta function.
Star algebra and Green functions of nonlinear differential equations
Sufficient conditions for the solvability of some third order functional boundary value problems on the half-line
This paper is concerned with the existence of bounded or unbounded solutions to third-order boundary value problem on the half-line with functional boundary conditions. The arguments are based on the Green functions, a Nagumo condition, Schauder fixed point theorem and lower and upper solutions method. An application to a Falkner-Skan equation with functional boundary conditions is given to illustrate our results.
Sur les fonctions de Green relatives à un domaine d'une dimension
The best constant of Sobolev inequality corresponding to clamped boundary value problem.
The existence of a solution of a nonlinear boundary value problem
The existence of countably many positive solutions for nonlinear th-order three-point boundary value problems.
The method of upper and lower solutions for second-order non-homogeneous two-point boundary-value problem.
Third-order nonlocal problems with sign-changing nonlinearity on time scales.
Three symmetric positive solutions for Lidstone problems by a generalization of the Leggett-Williams theorem.
Triple positive solutions for second-order four-point boundary value problem with sign changing nonlinearities.
Two-point boundary value problems for second order systems
Upper and lower solutions method for a class of singular fractional boundary value problems with -Laplacian operator.
Задача о дихотомии спектра матрицы
Оценка матрицы Грина, непрерывность параметра дихотомии.