Maximum principles for fourth and sixth order periodic boundary value problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 29, Issue 10, 1997, Pages 1161-1171

  Cabada, Alberto ^a   Lois, Susana ^a  

^a NONE

Author keywords

Green functions; Lower and upper solutions; Maximum principles; Periodic boundary value problem

Indexed keywords

GREEN'S FUNCTION; MATHEMATICAL OPERATORS; MAXIMUM PRINCIPLE; NONLINEAR EQUATIONS; THEOREM PROVING;

INVERSE POSITIVE OPERATORS; PERIODIC BOUNDARY VALUE PROBLEMS;

BOUNDARY VALUE PROBLEMS;

EID: 0031281223     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00086-7     Document Type: Article

References (7)

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3. Cabada, A., The method of lower and upper solutions for nth-order periodic boundary value problems. J. Math. Stochastic Anal., 1994, 7, 33-47.
4. Bernfeld, S. R. and Lakshmikantham, V., An Introduction to Nonlinear Boundary Value Problems. Academic Press, New York, 1974.
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6. Omari, P. and Trombetta, M., Remarks on the lower and upper solutions method for second and third-order periodic boundary value problems. Appl. math. Comput., 1992, 50, 1-21.
7. Seda, V., Nieto, J. J. and Gera, M., Periodic boundary value problems for nonlinear higher order ordinary differential equations. Appl. math. comput., 1992, 48, 71-82.