Existence of periodic solutions for quasilinear ordinary differential eqasilinear ordinary diefferential equations with discontinuities

• Autorzy: Matzakos N. , Papageorgiou N.
• Języki publikacji: EN

Abstrakty

EN

We consider a quasilinear differential equation with discontinuous right hand side and periodic boundary conditions. To obtain an existence theory we pass to a relevant multivalued variant of the original problem, which we solve. Our approach is a mixture of the variational method (for nonsmooth locally Lipschitz functionals) and of the method of upper and Iower solutions. The mixing of these two techniques is made possible by a nonresonance condition below the first nonzero eigenvalue of the one-dimensional p-Laplacian with periodic boundary conditions.

Słowa kluczowe

EN

locally Lipschitz function; generalized subdifferential; critical point; Sobolev space; truncation function; penelization function

PL

funkcja Lipschitza; punkt krytyczny; przestrzeń Soboleva

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2000
• Tom: Vol. 33, nr 4
• Strony: 753--770
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Matzakos N.

• National Technical University, Department of Mathematics, Zografou Campus, Athens 157 80, Greece

autor

Papageorgiou N.

• National Technical University, Department of Mathematics, Zografou Campus, Athens 157 80, Greece

Bibliografia

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