Some problems in neutron transport theory
We present some regularity properties of periodic solutions to a class of singular potential problems and we discuss the existence of a regular solution.
Si studia l'andamento delle traiettorie di un sistema dinamico piano rappresentato dalle equazioni (1) del testo, nell'intorno di un punto singolare isolato.
We study oscillatory properties of solutions of the system of differential equations of neutral type.
Consider the third order differential operator given by and the related linear differential equation . We study the relations between , its adjoint operator, the canonical representation of , the operator obtained by a cyclic permutation of coefficients , , in and the relations between the corresponding equations. We give the commutative diagrams for such equations and show some applications (oscillation, property A).
This note deals with a class of abstract quasivariational evolution problems that may include some memory effects. Under a suitable monotonicity framework, we provide a generalized existence result by means of a fixed point technique in ordered spaces. Finally, an application to the modeling of generalized kinematic hardening in plasticity is discussed.
The classical Hermite-Hermite matrix polynomials for commutative matrices were first studied by Metwally et al. (2008). Our goal is to derive their basic properties including the orthogonality properties and Rodrigues formula. Furthermore, we define a new polynomial associated with the Hermite-Hermite matrix polynomials and establish the matrix differential equation associated with these polynomials. We give the addition theorems, multiplication theorems and summation formula for the Hermite-Hermite...