Stability of the solutions of impulsive integro-differential equations in terms of two measures

In [12] Hopf and Pannwitz proved that the number of edges in any diameter graph in R 2 is at most n, which easily implies Borsuk’s conjecture for finite sets on the plane..

Key words: Spectral properties, nonlocal elliptic operator, travelling waves, stability... The spectrum of the operator L consists of its essential part and

Existence of stationary solutions for some systems of integro- differential equations with superdiffusion.1. EXISTENCE OF STATIONARY SOLUTIONS FOR SOME SYSTEMS

Elliptic problems in bounded domains with a sufficiently smooth boundary satisfy the Fredholm property if the ellipticity condition, proper ellipticity and Lopatinskii conditions

In the present paper, we deal with fully non-linear elliptic equations and we obtain local C 0,α regularity and estimates for a quite general class of integro-differential

This simple method, closely related to classical viscosity solutions theory, was recently explored by the first, second and fourth authors in [1] for second order, fully

- In this paper estimates of the solutions of impulsive quasilinear functional differential equations are obtained and the existence of solutions of certain nonlinear

In Section 2, we study the comparison of viscosity solutions of the Dirichlet boundary value problem (1), (8)2. In Section 3, we study the comparison of viscosity solutions of