MULTIPLE POSITIVE SOLUTIONS OF SINGULAR p-LAPLACIAN PROBLEMS BY VARIATIONAL METHODS KANISHKA PERERA ppt

... 1333–1344. MULTIPLE POSITIVE SOLUTIONS OF SINGULAR p-LAPLACIAN PROBLEMS BY VARIATIONAL METHODS KANISHKA PERERA AND ZHITAO ZHANG Received 20 July 2004 We obtain multiple positive solutions of singular p-Laplacian ... no. 2, 333– 355. [2] R. P. Agarwal, K. Perera, and D. O’Regan, Multiple positive solutions of singular problems by variational...

Ngày tải lên: 23/06/2014, 00:20

... PROBLEMS VIA VARIATIONAL METHODS RAVI P. AGARWAL, KANISHKA PERERA, AND DONAL O’REGAN Received 31 March 2005 We obtain multiple positive solutions of singular discrete p-Laplacian problems using variational ... by Lemma 2.5, the mountain-pass lemma now gives a second critical point u 2 , which is greater than u 1 by Lemmas 2.1 and 2.2.  MULTIPLE POSITIVE SOLU...

Ngày tải lên: 23/06/2014, 00:20

... existence of a fixed point of an operator H. The existence of a fixed point of H is proved by a fixed point theorem of cone compression type according to Guo- Krasnosel’skii 18, 19. The properties of solutions ... estimates on multiple solutions of Lidstone boundary value problems, ” Acta Mathematica Hungarica, vol. 86, no. 1 -2, pp. 137–168, 2000. 8 Y R. Yang and S. S...

Ngày tải lên: 21/06/2014, 11:20

... existence, and multiplicity of positive solutions of a singular boundary value problem for second-order differential systems with impulse effects. By using the upper and lower solutions method and fixed ... and Y. Wu, Positive solutions of two-point boundary value problems for systems of nonlinear second-order singular and impulsive differential equations,” Nonlinear Anal...

Ngày tải lên: 21/06/2014, 11:20

... Corporation Boundary Value Problems Volume 2009, Article ID 978605, 22 pages doi:10.1155/2009/978605 Research Article Positive Solutions of Singular Multipoint Boundary Value Problems for Systems of Nonlinear Second-Order ... Sun, Positive solutions of m-point boundary value problems, ” Journal of Mathematical Analysis and Applications, vol. 291, no. 2, pp. 406–418, 2004...

Ngày tải lên: 21/06/2014, 20:20

... one positive s olution yt,t∈ J with property 3.17. Proof. The proof is similar to that of Theorem 3. 2of 6. Theorem 3.5. Assume that H 1 , H 2 , 3.1 of H 3  and 3.14 and 3.15 of ... BVP 1.6 has at least one positive s olution yt,t∈ J with property 3.4. Proof. The proof is similar to that of Theorem 3. 1of 6. 14 Boundary Value Problems Proof. Let T be the...

Ngày tải lên: 21/06/2014, 16:20

... Wei, and F. Xu, “The existence of countably many positive solutions for a system of nonlinear singular boundary value problems with the p-Laplacian operator,” Journal of Mathematical Analysis and Applications, ... second-order dynamic equations of increasing homeomorphism and positive homomorphism on time scales. For the existence problems of positive solutions of...

Ngày tải lên: 21/06/2014, 20:20

... existence of positive solutions of singular superlinear boundary value problems, ” Acta Mathematica Sinica, vol. 48, no. 1, pp. 25–34, 2005 (Chinese). [8] Z. L. Wei, Positive solutions to singular ... get the existence of the positive solutions and mul- tiple positive solutions of SBVP (2.43) u nder the conditions (H 1 )–(H 5 ). Remark 2.10. Balancing condition of...

Ngày tải lên: 22/06/2014, 22:20

... Behavior of the positive solutions of fuzzy equation (1.1) In this section, we study the behavior of the positive solutions of (1.1). Firstly, we study the periodicity of the positive solutions of ... Existence and uniqueness of the positive solutions of fuzzy difference equations (1.1)and(1.2) In this section, we study the existence and the uniqueness of the...

Ngày tải lên: 23/06/2014, 00:20

... was supported by the Austrian Science Fund Project P17253 and supported by Grant no. A100190703 of the Grant Agency of the Academy of Science of the Czech Republic and by the Council of Czech Government ... existence of positive solutions and dead core solutions vanishing on a subinterval 0,t 0 ,0<t 0 < 1 of problem 1.3, and also covered the case of the...

Ngày tải lên: 21/06/2014, 16:20