Liapunov-type inequalities and Neumann boundary value problems at resonance

Mathematical Inequalities and Applications

Volumn 8, Issue 3, 2005, Pages 459-475

  Canada A ^a   Montero, J A ^a   Villegas, S ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

Existence and uniqueness; Liapunov inequalities; Neumann boundary value problems; Resonance

Indexed keywords

EID: 22944463051     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-08-42     Document Type: Article

References (8)

1. R. C. BROWN, D. B. HINTON, Lyapunov inequalities and their applications, Survey on Classical Inequalities, T. M. Rassias, ed. Kluwer, Dordrecht, 2000, 1-25.
2. G. CROCE, B. DACOROGNA, On a generalized Wirtinger inequality, Discrete and Continuous Dynamical Systems, 9, (2003), 1329-1341.
3. B. DACAROGNA, W. GANGBO AND N. SUBÍA Sur une généralisation de l'inégalité de Wirtinger, Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 9, (1992), 29-50.
4. P. DRÁBEK, Nonlinear eigenvalue problems and Fredholm altrnative, In Nonlinear Differential Equations, P. Drábek, P. Krejči and P. Takáč, Editors. Research Notes in Mathematics Series, 404, Chapman and Hall/CRC, London, 1999, 1-46.
5. P. HARTMAN, Ordinary Differential Equations, John Wiley and Sons Inc., New York-London-Sydney, 1964.
6. W. HUAIZHONG, L. YONG, Neumann boundary value problems for second-order ordinary differential equations across resonance, SIAM J. Control and Optimization, 33, (1995), 1312-1325.
7. L. KOTIN, A generalization of Liapunov's inequality, J. Math. Anal. Appl., 102, (1984), 585-598.
8. J. MAWHIN, J. R. WARD AND M. WILLEM, Variational methods and semilinear elliptic equations, Arch. Rational Mech. Anal., 95, (1986), 269-277.