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Periodic averaging theorems for various types of equations
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2013-08-02)
We prove a periodic averaging theorem for generalized ordinary differential equations and show that averaging theorems for ordinary differential equations with impulses and for dynamic equations on time scales follow easily ...
Measure functional differential equations and functional dynamic equations on time scales
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2012)
We study measure functional differential equations and clarify their relation to generalized ordinary differential equations. We show that functional dynamic equations on time scales represent a special case of measure ...
On the solution of generalized equations and variational inequalities
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2011)
A General Solution of the Fokker-Planck Equation
(Springer, 2012-02-01)
The Fokker-Planck equation is useful to describe stochastic processes. Depending on the force acting in the system, the solution of this equation becomes complicated and approximate or numerical solutions are needed. The ...
A Family of Stationary Solutions to the Euler Equations and Generalized Solutions
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
Analytical Solutions of the Fokker-Planck Equation for Generalized Morse and Hulth,n Potentials
(Springer, 2016-01-01)
In the present contribution we analytically calculate solutions of the transition probability of the Fokker-Planck equation (FPE) for both the generalized Morse potential and the Hulth,n potential. The method is based on ...