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Kuang-Chao Chang (1992)
In nite Dimensional Morse Theory and Multiple Solution Problems
H. Dang, S. Oppenheimer (1996)
Existence and Uniqueness Results for Some Nonlinear Boundary Value ProblemsJournal of Mathematical Analysis and Applications, 198
M. Pino, R. Manásevich, A. Murua (1992)
Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.Nonlinear Analysis-theory Methods & Applications, 18
P. Bartolo, V. Benci, D. Fortunato (1983)
Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinityNonlinear Analysis-theory Methods & Applications, 7
J. Mawhin (2001)
Periodic Solutions of Systems with p-Laplacian-like Operators
Z. Denkowski, S. Migórski, N. Papageorgiou (2003)
An introduction to nonlinear analysis
R. Manásevich, J. Mawhin (1998)
Periodic solutions for nonlinear systems with p-Laplacian-like operatorsJournal of Differential Equations, 145
Zongming Guo (1993)
Boundary value problems of a class of quasilinear ordinary differential equationsDifferential and Integral Equations
M. Struwe (1990)
Variational methods: Applications to nonlinear partial differential equations and Hamiltonian systems
I. Kiguradze, S. Mukhigulashvili (2005)
On periodic solutions of two-dimensional nonautonomous differential systemsNonlinear Analysis-theory Methods & Applications, 60
L. Gasiński, Nikolaos Papageorgiou (2002)
A multiplicity result for nonlinear second order periodic equations with nonsmooth potentialBulletin of The Belgian Mathematical Society-simon Stevin, 9
ISSN 0012-2661, Differential Equations, 2007, Vol. 43, No. 2, pp. 157–163. c Pleiades Publishing, Ltd., 2007. Original Russian Text c R.P. Agarwal, D. O’Regan, N.S. Papageorgiou, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 2, pp. 154–160. ORDINARY DIFFERENTIAL EQUATIONS On the Existence of Two Nontrivial Solutions of Periodic Problems with Operators of p-Laplacian Type R. P. Agarwal, D. O’Regan, and N. S. Papageorgiou Florida Institute of Technology, Melbourne, USA National University of Ireland, Galway, Ireland National Technical University of Athens, Greece Received March 13, 2006 DOI: 10.1134/S0012266107020036 1. INTRODUCTION We study the periodic problem − (α (t, x (t))) = f (t, x(t)); x(0) = x(b),x (0) = x (b), (1) where (α(·,y(·))) is an operator of p-Laplacian type. In particular, we admit the case p−1 α(t, y) ≡|y| y, p > 1. In the last decade, such problems have been an area of ever increasing interest and the subject of numerous papers (e.g., see [1–8] and the bibliography therein). Below we establish new sufficient conditions for the existence of at least two nontrivial solutions of problem (1). Unlike the results in [2, 4], our theorem covers the case in which problem (1) is strongly
Differential Equations – Springer Journals
Published: Mar 20, 2007
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