Multiple positive solutions to second-order Neumann boundary value problems

Applied Mathematics and Computation

Volumn 146, Issue 1, 2003, Pages 187-194

  Sun, Jian Ping ^a   Li, Wan Tong ^b  

^a GANSU UNIVERSITY OF TECHNOLOGY   (China)

^b LANZHOU UNIVERSITY   (China)

Author keywords

Fixed point theorem; Neumann BVP; Positive solution

Indexed keywords

INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; THEOREM PROVING;

FIXED POINT THEOREMS;

BOUNDARY VALUE PROBLEMS;

EID: 0042513670     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00535-0     Document Type: Article

References (9)

1. Dang H., Seth F. Oppenheimer. Existence and uniqueness results for some nonlinear boundary value problems. J. Math. Anal. Appl. 198:1996;35-48.
2. Jiang D.Q., Liu H.Z. Existence of positive solutions to second order Neumann boundary value problems. J. Math. Res. Exposition. 20(3):2000;360-364.
3. Rachunkva I., Stanke S. Topological degree method in functional boundary value problems at resonance. Nonlinear Anal. TMA. 27(3):1996;271-285.
4. Rachunkva I. Upper and lower solutions with inverse inequality. Ann. Polon. Math. 65:1996;235-244.
5. J.P. Sun, W.T. Li, Multiple positive solutions of a discrete difference system, Appl. Math. Comput., in press.
6. Deiming K. Nonlinear Functional Analysis. 1985;Springer-Verlag, New York.
7. Ma R.Y. Existence of positive radial solutions for elliptic systems. J. Math. Anal. Appl. 201:1996;375-386.
8. Erbe L.H., Wang H.Y. On the existence of positive solutions of ordinary differential equations. Proc. Am. Math. Soc. 120:1994;743-748.
9. Wang H.Y. On the existence of positive solution for semilinear elliptic equations in the annulus. J. Differ. Equations. 109:1994;1-7.