Extremal solutions of measure differential equations
Copyright policy )Extremal solutions of measure differential equations
The paper concerns the existence of the least and the greatest solutions for measure differential equations. The relationship with the notions of lower and upper solution is also investigated. Interesting examples are provided to motivate the key assumptions in each result. Known the fact that impulsive differential equations and dynamic equations on time scales can be seen as measure differential equations, the existence of extremal solutions for these problems is deduced from the main result.
- Charles University Czech Republic
- Academy of Sciences Library Czech Republic
- Czech Academy of Sciences Czech Republic
lower solution, Dynamic equations on time scales or measure chains, measure differential equations, lower and upper solution, Real analysis on time scales or measure chains, extremal solution, Ordinary differential equations with impulses, measure differential equation
lower solution, Dynamic equations on time scales or measure chains, measure differential equations, lower and upper solution, Real analysis on time scales or measure chains, extremal solution, Ordinary differential equations with impulses, measure differential equation
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