Multiple solutions for a kind of periodic boundary value problems via variation approach
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W.Ding, M.Han, J.Yan, Periodic boundary value problems for the second order functional differential equations, J.Math.Anal.Appl,298(2004)341-351.
H.Wang,Positive periodic solutions of functional differential equations,J.Differential Eqns. 202(2004)354-366.
J.Mawhin, M.Willen. Critical Point Theorem and Hamiltonian Systems. Appl. Math. Sci., Vol. 74, Springer, New York; 1989.
P.Rabinowitz, Periodic solutions of hamiltonian systems, Comm. Pure Appl. Math. 31(1978):157-184.
Ricceri B.: On a three critical points theorem, Arch. Math. 75,220-226(2000).
E.Zeidler, Nonlinear Functional Analysis and its Application, Vol.3, Springer,1985.
Giovanna Cerami.: An existence criterion for the critical points on unbounded manifolds. Istit. Lombardo Accad. Sci. Lett. Rend. A, 112(2)(1979):332-336,1978.
AfrouziG.A.,Heidarkhani S.: Three solutions for a quasilinear boundary value problem, Nonlinear Anal.69,3330-3336(2008).
Y.Tian, W.Ge. Multiple positive solutions for periodic boundary value problem via vatiational methods. Tamkang J. Math., 39(2008):111-119.
A.Ambrosetti, P.H.Rabinowitz. Dual variational methods in critical point theory and applications. J.Funct.Anal. 14(1973):349-381.
Siegfried Carl, Dumitru Motreanu. Constant-sign and sign-changing solutions for nonlinear eigenvalue problems. Nonlinear Anal.,68(2008):2668-2676.
Michael E.Filippakis, Nikolaos S.Papageorgiou. Multiple constant sign and nodal solutions for nonlinear elliptic with the p-Laplacian. J.Differential Equations. 245(2008):1883-1922.
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