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Nonlinear variational evolution inequalities in Hilbert spaces

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  • Jin-Mun Jeong
  • Doo-Hoan Jeong
  • Jong-Yeoul Park

Abstract

The regular problem for solutions of the nonlinear functional differential equations with a nonlinear hemicontinuous and coercive operator A and a nonlinear term f ( . , . ) : x ′ ( t ) + A x ( t ) + ∂ ϕ ( x ( t ) ) ∋ f ( t , x ( t ) ) + h ( t ) is studied. The existence, uniqueness, and a variation of solutions of the equation are given.

Suggested Citation

  • Jin-Mun Jeong & Doo-Hoan Jeong & Jong-Yeoul Park, 2000. "Nonlinear variational evolution inequalities in Hilbert spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 23, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:491826
    DOI: 10.1155/S0161171200001630
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