Examples of the nonexistence of a solution in the presence of upper and lower solutions

ANZIAM Journal

Volumn 44, Issue 4, 2003, Pages 591-594

  Habets, Patrick ^a   Pouso, Rodrigo L ^b  

^a Inst Mathematique Pure et Appliquee   (Belgium)

^b UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10044275913     PISSN: 14461811     EISSN: None     Source Type: Journal    
DOI: 10.1017/S1446181100012955     Document Type: Article

References (10)

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2. S. Bemstein, "Sur certaines équations différentielles ordinaires du second ordre", C.R.A. Sci. Paris 138 (1904) 950-951.
3. S. Fučík, Solvability of nonlinear equations and boundary value problems (Reidel, Dordrecht, 1980).
4. M. Nagumo, "Über die differentialgleichung y" = f(t, y, y')", Proc. Phys-Math. Soc. Japan 19 (1937) 861-866.
5. M. Nagumo, "On principally linear elliptic differential equations of the second order", Osaka Math. J. 6 (1954) 207-229.
6. E. Picard, "Sur l'application des méthodes d'approximations successives à l'étude de certaines ́quations différentielles ordinaires", J. de Math. 9 (1893) 217-271.
7. n: Problems and methods, Appl. Math. Sciences 39 (Springer, 1984).
8. N. Rouche and J. Mawhin, Equations différentielles ordinaires (Masson, Paris, 1973).
9. G. Scorza Dragoni, "II problema dei valori ai limiti studiato in grande per gli integrali di una equazione differenziale del secondo ordine", Giornale di Mat. (Battaglini) 69 (1931) 77-112.
10. G. Scorza Dragoni, "Intorno a un criterio di esistenza per un prpblema di valori ai limiti", Rend. Semin. R. Accad. Naz. Lined 28 (1938) 317-325.