Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions

Nonlinear Analysis, Theory, Methods and Applications

Volumn 73, Issue 5, 2010, Pages 1289-1299

  Jankowski, Tadeusz ^a  

^a GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Advanced and delayed arguments; Existence; Fixed point theorem; Integral boundary conditions; Triple positive solutions

Indexed keywords

DEVIATING ARGUMENT; FIXED POINT THEOREMS; FOURTH-ORDER DIFFERENTIAL EQUATIONS; INTEGRAL BOUNDARY CONDITIONS; PETERSON; POSITIVE SOLUTION; SUFFICIENT CONDITIONS; TRIPLE POSITIVE SOLUTIONS;

ORDINARY DIFFERENTIAL EQUATIONS;

BOUNDARY CONDITIONS;

EID: 77955335674     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2010.04.055     Document Type: Article

References (20)

1. D. Bai, and Y. Xu Positive solutions of second-order two-delay differential systems with twin parameter Nonlinear Anal. 63 2005 601 617 (Pubitemid 41475514)
2. D. Bai, and Y. Xu Existence of positive solutions for boundary value problem of second-order delay differential equations Appl. Math. Lett. 18 2005 621 630 (Pubitemid 40423877)
3. A. Boucherif Second-order boundary value problems with integral boundary conditions Nonlinear Anal. 70 2009 364 371
4. B. Du, X. Hu, and W. Ge Positive solutions to a type of multi-point boundary value problem with delay and one-dimensional p-Laplacian Appl. Math. Comput. 208 2009 501 510
5. M. Feng, D. Ji, and W. Ge Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces J. Comput. Appl. Math. 222 2008 351 363
6. T. Jankowski Positive solutions of three-point boundary value problems for second order impulsive differential equations with advanced arguments Appl. Math. Comput. 197 2008 179 189
7. T. Jankowski Three positive solutions to second order three-point impulsive differential equations with deviating arguments Int. J. Comput. Math. 87 2010 215 225
8. D. Jiang Multiple positive solutions for boundary value problems of second order delay differential equations Appl. Math. Lett. 15 2002 575 583
9. W. Wang, and J. Sheng Positive solutions to a multi-point boundary value problem with delay Appl. Math. Comput. 188 2007 96 102
10. Y. Wang, W. Zhao, and W. Ge Multiple positive solutions for boundary value problems of second order delay differential equations with one-dimensional p-Laplacian J. Math. Anal. Appl. 326 2007 641 654 (Pubitemid 44688806)
11. C. Yang, C. Zhai, and J. Yan Positive solutions of the three-point boundary value problem for second order differential equations with an advanced argument Nonlinear Anal. 65 2006 2013 2023
12. C. Bai Triple positive solutions of three-point boundary value problems for fourth-order differential equations Comput. Math. Appl. 56 2008 1364 1371
13. Z. Bai, and H. Wang On positive solutions of some nonlinear fourth-order beam equations J. Math. Anal. Appl. 270 2002 357 368
14. Z. Hao, L. Liu, and L. Debnath A necessary and sufficient condition for the existence of positive solutions of fourth-order singular boundary value problems Appl. Math. Lett. 16 2003 279 285
15. F. Li, Q. Zhang, and Z. Liang Existence and multiplicity of solutions of a kind of fourth-order boundary value problem Nonlinear Anal. 62 2005 803 816 (Pubitemid 40893563)
16. B. Liu Positive solutions of fourth-order two point boundary value problems Appl. Math. Comput. 148 2004 407 420
17. D. Yang, H. Zhu, and C. Bai Positive solutions for semipositone fourth-order two-point boundary value problems Electronic. J. Differential Equations 2007 16 2007 1 8
18. X. Zhang, L. Liu, and H. Zou Positive solutions of fourth-order singular three point eigenvalue problems Appl. Math. Comput. 189 2007 1359 1367 (Pubitemid 46802752)
19. M. Zhang, and Z. Wei Existence of positive solutions for fourth-order m-point boundary value problem with variable parameters Appl. Math. Comput. 190 2007 1417 1431 (Pubitemid 46935882)
20. R.I. Avery, and A.C. Peterson Three positive fixed points of nonlinear operators on ordered Banach spaces Comput. Math. Appl. 42 2001 313 322