In this work, a novel model is presented that describes thermal diffusion processes through non-local semiconductor materials. The material under study subjected to the influence of strong magnetic field, which creates Hall current. Interference between excited electrons and holes had been exposed temperature was present, conductivity depending on changes in graduated were accounted for. govern...

In this paper, we study spectral decompositions with respect to a system of generalized eigenvectors second-order differential operators on an interval whose resolvents possess convolution representations. We obtain the representation integral boundary conditions. Then, using generated by initial operator, construct Fourier transform. A connection between operation in original functional space ...

The aim of this paper is twofold. first to study the asymptotics a parabolically scaled, continuous and space-time stationary in time version well-known Funaki-Spohn model Statistical Physics. After change unknowns requiring existence eternal solution stochastically perturbed heat equation, problem transforms qualitative homogenization uniformly elliptic, stationary, divergence form, nonlinear ...

Partial fraction expansion is often used with the Laplace Transforms to formulate algebraic expressions for which inverse Transform can be easily found. This paper demonstrates a special case linear, constant coefficient, second order ordinary differential equation no damping term and harmonic function non-homogeneous leads simplified partial due decoupling of coefficients s coefficients. Recog...