Buscar
Mostrando ítems 1-10 de 609
On qualitative and quantitative results for solutions to first-order dynamic equations on time scales
(Springer, 2015-10-01)
In the present work, we study qualitative and quantitative results proposed in the paper Tisdell and Zaidi (Nonlinear Anal 68(11): 3504-3524, 2008) of first-order dynamic equations on time scales. Thus, we examine initial ...
Discontinuous dynamic equations on time scales
(2015-12-01)
We introduce and prove the existence of Hermes, Filippov, and Krasovskii generalized solutions to discontinuous dynamic equations on time scales. We also consider comparisons between the Carathéodory, Euler, Filippov, ...
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 ...
A generalized Riemann- Stieltjes integral on time scales and discontinuous dynamical equations
(2011-05-02)
This paper is concerned with a generalization of the Riemann- Stieltjes integral on time scales for deal with some aspects of discontinuous dynamic equations in which Riemann-Stieltjes integral does not works. © 2011 ...
A generalized Riemann- Stieltjes integral on time scales and discontinuous dynamical equations
(2011-05-02)
This paper is concerned with a generalization of the Riemann- Stieltjes integral on time scales for deal with some aspects of discontinuous dynamic equations in which Riemann-Stieltjes integral does not works. © 2011 ...
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 ...
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 ...