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Three solutions for fourth-order impulsive differential inclusions via nonsmooth critical point theory. (English) Zbl 1401.34059

Summary: An existence of at least three solutions for a fourth-order impulsive differential inclusion will be obtained by applying a nonsmooth version of a three-critical-point theorem. Our results generalize and improve some known results.

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
34A37 Ordinary differential equations with impulses
58E50 Applications of variational problems in infinite-dimensional spaces to the sciences
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