메뉴 건너뛰기




Volumn 195, Issue 1, 2008, Pages 240-255

Existence theory for multiple solutions to semipositone Dirichlet boundary value problems with singular dependent nonlinearities for second-order impulsive differential equations

Author keywords

Impulsive differential equation; Multiple positive solutions; Semipositone problem; Singular boundary value problem; Upper and lower solutions method

Indexed keywords

CONES; CONTROL NONLINEARITIES; THEOREM PROVING;

EID: 36749013553     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.04.104     Document Type: Article
Times cited : (8)

References (13)
  • 1
    • 33646524725 scopus 로고    scopus 로고
    • Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations
    • Lin X., and Jiang D. Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations. J. Math. Anal. Appl. 321 (2006) 501-514
    • (2006) J. Math. Anal. Appl. , vol.321 , pp. 501-514
    • Lin, X.1    Jiang, D.2
  • 2
    • 11144357008 scopus 로고    scopus 로고
    • Impulsive BVPs with nonlinear boundary conditions for the second order differential equations without growth restrictions
    • Rachunkova I., and Tomecek J. Impulsive BVPs with nonlinear boundary conditions for the second order differential equations without growth restrictions. J. Math. Anal. Appl. 292 (2004) 525-539
    • (2004) J. Math. Anal. Appl. , vol.292 , pp. 525-539
    • Rachunkova, I.1    Tomecek, J.2
  • 3
    • 0031284328 scopus 로고    scopus 로고
    • Periodic Boundary value problems for a class of second-order impulsive integro-differential equations in Banach spaces
    • Liu X., and Guo D. Periodic Boundary value problems for a class of second-order impulsive integro-differential equations in Banach spaces. Appl. Math. Comput. 216 (1997) 284-302
    • (1997) Appl. Math. Comput. , vol.216 , pp. 284-302
    • Liu, X.1    Guo, D.2
  • 4
    • 0040778414 scopus 로고    scopus 로고
    • Multiple nonnegative solutions for second order impulsive differential equations
    • Agarwal R.P., and O'Regan D. Multiple nonnegative solutions for second order impulsive differential equations. Appl. Math. Comput. 114 (2000) 51-59
    • (2000) Appl. Math. Comput. , vol.114 , pp. 51-59
    • Agarwal, R.P.1    O'Regan, D.2
  • 5
    • 0035922229 scopus 로고    scopus 로고
    • Existence theorem for single and multiple solutions to singular positone boundary value problems
    • Agarwal R.P., and O'Regan D. Existence theorem for single and multiple solutions to singular positone boundary value problems. J. Differen. Equat. 175 (2001) 393-414
    • (2001) J. Differen. Equat. , vol.175 , pp. 393-414
    • Agarwal, R.P.1    O'Regan, D.2
  • 6
    • 0030637292 scopus 로고    scopus 로고
    • Singular nonlinear (k,n - k) conjugate boundary value problem
    • Eloe P.W., and Henderson J. Singular nonlinear (k,n - k) conjugate boundary value problem. J. Differen. Equat. 133 (1997) 136-151
    • (1997) J. Differen. Equat. , vol.133 , pp. 136-151
    • Eloe, P.W.1    Henderson, J.2
  • 7
    • 84950192244 scopus 로고
    • Existence and uniqueness theorems for a bending of an elastic beam equations
    • Gupta C.P. Existence and uniqueness theorems for a bending of an elastic beam equations. Appl. Anal. 26 (1988) 289-304
    • (1988) Appl. Anal. , vol.26 , pp. 289-304
    • Gupta, C.P.1
  • 8
    • 36749080474 scopus 로고    scopus 로고
    • L. Zu, X. Lin, D. Jiang, Existence theory for single and multiple solutions to singular boundary value problems for second order impulsive differential equations, Topol. Methods Nonlinear Anal., in press.
  • 9
    • 33947123126 scopus 로고    scopus 로고
    • Study of singular boundary value problems for second order impulsive differential equations
    • Lee Y.H., and Liu X. Study of singular boundary value problems for second order impulsive differential equations. J. Math. Anal. Appl. 331 (2007) 159-176
    • (2007) J. Math. Anal. Appl. , vol.331 , pp. 159-176
    • Lee, Y.H.1    Liu, X.2
  • 10
    • 4944227096 scopus 로고    scopus 로고
    • Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations
    • Lee E.L., and Lee Y.H. Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations. Appl. Math. Comput. 158 (2004) 745-759
    • (2004) Appl. Math. Comput. , vol.158 , pp. 745-759
    • Lee, E.L.1    Lee, Y.H.2
  • 11
    • 33749615828 scopus 로고    scopus 로고
    • Multiple positive solutions to semipositone Dirichlet boundary value problem with singular dependent nonlinearities
    • Jiang D., and Xu X. Multiple positive solutions to semipositone Dirichlet boundary value problem with singular dependent nonlinearities. Fasc. Math. 34 (2004) 25-37
    • (2004) Fasc. Math. , vol.34 , pp. 25-37
    • Jiang, D.1    Xu, X.2
  • 12
    • 2442494271 scopus 로고    scopus 로고
    • Semipositone Dirichlet boundary value problem with singular dependent nonlinearities
    • Agarwal R.P., and O'Regan D. Semipositone Dirichlet boundary value problem with singular dependent nonlinearities. Houston J. Math. 30 (2004) 297-308
    • (2004) Houston J. Math. , vol.30 , pp. 297-308
    • Agarwal, R.P.1    O'Regan, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.