Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.

Nonlinear Analysis, Theory, Methods and Applications - Tập 18 Số 1 - Trang 79-92 - 1992
Manuel del Pino1, Raúl Manásevich2, Alejandro Murua3
1School of Mathematics, University of Minnesota, Minneapolis, MN 55455, U.S.A.
2Departamento de Matemáticas, F.C.F.M., Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile
3Division of Applied Mathematics, Brown University, Providence, RI 02912, U.S.A.

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Tài liệu tham khảo

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DEL PINO M., ELGUETA M. & MANASEVICH R., Sturm's comparison theorem and a Hartman's type oscillation criterion for (|u′|p−2u′)′ + c(t)|u|p−2u = 0, preprint.

del Pino, 1989, A homotopic deformation along p of a Leray-Schauder degree result and existence for (|u′|p−2u′)′ + f(t, u) = 0, u(0) = u(T) = 0, p > 1, J. diff. Eqns, 80, 1, 10.1016/0022-0396(89)90093-4

Ding, 1983, A generalization of the Poincaré-Birkhoff theorem, Proc. Am. Math. Soc., 88, 341