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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 ...
EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALES
(Element, 2020-02-01)
In this paper, we present three results about the existence of solutions to discontinuous dynamic equations on time scales. The existence of Caratheodory type solution is produced using convergence and Arzela-Ascoli theorem. ...
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 ...
Asymptotic approach for the nonlinear equatorial long wave interactions
(2011-08-30)
In the present work we use an asymptotic approach to obtain the long wave equations. The shallow water equation is put as a function of an external parameter that is a measure of both the spatial scales anisotropy and the ...
Asymptotic approach for the nonlinear equatorial long wave interactions
(2011-08-30)
In the present work we use an asymptotic approach to obtain the long wave equations. The shallow water equation is put as a function of an external parameter that is a measure of both the spatial scales anisotropy and the ...
Existence and Multiplicity of Periodic Solutions for Dynamic Equations with Delay and singular φ-laplacian of Relativistic Type
(arXiv.org, 2020-05)
We study the existence and multiplicity of periodic solutions for singular ϕ-laplacian equations with delay on time scales. We prove the existence of multiple solutions using topological methods based on the LeraySchauder ...
Asymptotic behavior of functional dynamic equations in time scale
(DYNAMIC PUBLISHERS, INC, 2010)
Asymptotic behavior of functional dynamic equations in time scale
(DYNAMIC PUBLISHERS, INC, 2010)
Stability theory
(2021-01-01)
This chapter presents the study of the stability theory for generalized ordinary differential equations (ODEs). The results on the stability of the trivial solution in the framework of the generalized ODE are inspired in ...