Schwach majorisierende Elemente und die besonderen Monotonie-Eigenschaften von Randwertaufgaben zweiter Ordnung.
Second order nonlinear differential equations with linear impulse and periodic boundary conditions
In this study, we establish existence and uniqueness theorems for solutions of second order nonlinear differential equations on a finite interval subject to linear impulse conditions and periodic boundary conditions. The results obtained yield periodic solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis.
Sign changing Lyapunov functions and perturbation of invariant tori of dynamical systems
Similarities of discrete and continuous Sturm-Liouville problems.
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