Unbounded solutions of semilinear equations at resonance

Nonlinearity

Volumn 9, Issue 5, 1996, Pages 1099-1111

  Alonso, José Miguel ^a   Ortega, Rafael ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001338146     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/9/5/003     Document Type: Article

References (11)

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3. Kannan R and Ortega R 1986 An asymptotic result in forced oscillations of pendulum-type equations Appl. Anal. 22 45-53
4. Lazer A C and Leach D E 1969 Bounded perturbations of forced harmonic oscillators at resonance, Ann. Mat. Pura Appl. 82 49-68
5. Levi M 1992 On Littlewood's counterexample of unbounded motion in superquadratic potentials Dynamics Reported: Expositions in Dynamical Systems, vol. 1, ed C K R T Jones, U Kirchgraber and H O Walther (Berlin: Springer)
6. Littlewood J E 1966 Unbounded solutions of an equation y″ + g(y) = p(t), with p(t) periodic and bounded and g(y)/y → ∞ as y → ±∞ J. London Math. Soc. 41 497-507
7. Massera J L 1950 The existence of periodic solutions of systems of differential equations, Duke Math. J. 17 457-75
8. Obi C 1979 Analytical theory of nonlinear oscillations. IX. Limit oscillations and unbounded solutions of equations of the second order Ann. Mat. Pura Appl. 120 139-57
9. Seifert G 1990 Resonance in undamped second-order nonlinear equations with periodic forcing, Quart. Appl. Math. 48 527-30
10. Teman R G 1988 Infinite Dimensional Dynamical System in Mechanics and Physics (Berlin: Springer)
11. Ward J R 1986 A boundary value problem with a periodic nonlinearity Nonlinear Anal. 10 207-13