×

zbMATH — the first resource for mathematics

On a class of strongly nonlinear impulsive differential equation with time delay. (English) Zbl 1114.47067
The authors prove an existence result for a class of strongly nonlinear impulsive functional differential equations in an appropriate infinite-dimensional Banach space. A fixed point theorem of Leray–Schauder type is used. An example is also presented.

MSC:
47N20 Applications of operator theory to differential and integral equations
34A37 Ordinary differential equations with impulses
47H05 Monotone operators and generalizations
34K30 Functional-differential equations in abstract spaces
34G20 Nonlinear differential equations in abstract spaces
PDF BibTeX XML Cite