Some results on the method of lower and upper solutions for non-compact domains

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 8, 1997, Pages 4903-4908

  Marcelli, Cristina ^a   Rubbioni, Paola ^a  

^a UNIVERSITY OF PERUGIA   (Italy)

Author keywords

Carath odory functions; M ller's theorem; Upper and lower solutions

Indexed keywords

EID: 0042728119     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00276-3     Document Type: Article

References (7)

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2. MARCELLI C. & RUBBIONI P., A new extension of classical Müller theorem, Nonlinear Analysis 26 (1996). (To appear.)
3. LAKSHMIKANTHAM V., Comparison results for reaction-diffusion equations in a Banach space, University of Texas at Arlington, Technical Report No. 94 (1978).
4. HEIKKILÄ S. & LAKSHMIKANTHAM V., Extension of the method of upper and lower solutions for discontinuous differential equations, Diff. Eqns. and Dyn. Syst.. (To appear.)
5. LADDE G.S., LAKSHMIKANTHAM V. & VATSALA A.S., Monotone Iterative Techniques for Nonlinear Differential Equations, Pitman Adv. Publ. Prog., Boston (1985).
6. LAKSHMIKANTHAM V. & VATSALA A.S., Quasi-solutions and monotone method for systems of nonlinear boundary value problems, J. Math. Anal. Appl. 79, 38-47 (1981).
7. MARCELLI C., On the method of upper and lower solutions under Carathéodory assumptions, Atti Sem. Mat. Fis. Univ. Modena (1996). (To appear.)