A Survey of Recent Results for the Generalizations of Ordinary Differential Equations
Open Access
- 10 February 2014
- journal article
- review article
- Published by Wiley in Abstract and Applied Analysis
- Vol. 2014, 1-9
Abstract
This is a review paper on recent results for different types of generalized ordinary differential equations. Its scope ranges from discontinuous equations to equations on time scales. We also discuss their relation with inclusion and highlight the use of generalized integration to unify many of them under one single formulation.Keywords
This publication has 51 references indexed in Scilit:
- New oscillation results for second-order neutral delay dynamic equationsAdvances in Difference Equations, 2012
- Fractional q-Calculus on a time scaleJournal of Nonlinear Mathematical Physics, 2007
- Oscillation and nonoscillation for impulsive dynamic equations on certain time scalesAdvances in Difference Equations, 2006
- NECESSARY AND SUFFICIENT CONDITIONS FOR EXISTENCE AND UNIQUENESS OF SOLUTIONS OF SECOND-ORDER AUTONOMOUS DIFFERENTIAL EQUATIONSJournal of the London Mathematical Society, 2005
- Nagumo type existence results for second-order nonlinear dynamic BVPSNonlinear Analysis, 2005
- First- and second-order dynamic equations with impulseAdvances in Difference Equations, 2005
- Topological dynamics of retarded functional differential equationsJournal of Differential Equations, 2003
- Extremal solutions of a discontinuous scalar differential equationNonlinear Analysis, 1999
- A necessary and sufficient condition for existence of solutions for differential inclusionsNonlinear Analysis, 1998
- Existence and uniqueness of solutions of ordinary differential equationsProceedings of the American Mathematical Society, 1969