메뉴 건너뛰기




Volumn 49, Issue 5-6, 2005, Pages 651-663

Positive solutions of singular differential equations on measure chains

Author keywords

Eigenvalue; Fixed points; Measure chains; Positive solutions; Singular

Indexed keywords

BOUNDARY VALUE PROBLEMS; EIGENVALUES AND EIGENFUNCTIONS; INTEGER PROGRAMMING; INTEGRAL EQUATIONS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING; TOPOLOGY;

EID: 18444366213     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2004.12.001     Document Type: Article
Times cited : (11)

References (23)
  • 3
    • 84951604495 scopus 로고
    • Analysis on measure chains-a unified approach to continuous and discrete calculus
    • S. Hilger Analysis on measure chains-a unified approach to continuous and discrete calculus Result Math. 18 1990 18 56
    • (1990) Result Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 4
    • 0036538132 scopus 로고    scopus 로고
    • Eigenvalue intervals for a two-point boundary value problem on a measure chain
    • D.R. Anderson Eigenvalue intervals for a two-point boundary value problem on a measure chain J. Comput. Appl. Math. 141 2002 57 64
    • (2002) J. Comput. Appl. Math. , vol.141 , pp. 57-64
    • Anderson, D.R.1
  • 5
  • 6
    • 0034656481 scopus 로고    scopus 로고
    • Eigenvalue problems for nonlinear differential equations on a measure chain
    • C.J. Chyan, and J. Henderson Eigenvalue problems for nonlinear differential equations on a measure chain J. Math. Anal. Appl. 245 2000 547 559
    • (2000) J. Math. Anal. Appl. , vol.245 , pp. 547-559
    • Chyan, C.J.1    Henderson, J.2
  • 7
    • 3242718005 scopus 로고    scopus 로고
    • Existence results for singular three-point boundary value problems on time scales
    • J.J. DaCunha, J.M. Davis, and P.K. Singh Existence results for singular three-point boundary value problems on time scales J. Math. Anal. Appl. 295 2004 378 391
    • (2004) J. Math. Anal. Appl. , vol.295 , pp. 378-391
    • Dacunha, J.J.1    Davis, J.M.2    Singh, P.K.3
  • 9
    • 18444413874 scopus 로고    scopus 로고
    • Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale
    • J.M. Davis, J. Henderson, K.R. Prasad, and W. Yin Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale Abstr. Appl. Anal. 5 2000 91 99
    • (2000) Abstr. Appl. Anal. , vol.5 , pp. 91-99
    • Davis, J.M.1    Henderson, J.2    Prasad, K.R.3    Yin, W.4
  • 10
    • 0001302120 scopus 로고    scopus 로고
    • Positive solutions and nonlinear (k, n - K) conjugate eigenvalue problems
    • P.W. Eloe, and J. Henderson Positive solutions and nonlinear (k, n - k) conjugate eigenvalue problems Differential Equations Dynam. Systems 6 1998 309 317
    • (1998) Differential Equations Dynam. Systems , vol.6 , pp. 309-317
    • Eloe, P.W.1    Henderson, J.2
  • 11
    • 0346881057 scopus 로고    scopus 로고
    • Green's functions and comparison theorems for differential equation on measure chains
    • L.H. Erbe, and A. Peterson Green's functions and comparison theorems for differential equation on measure chains Dynamics Continuous, Discrete Impulsive Systems 6 1999 121 137
    • (1999) Dynamics Continuous, Discrete Impulsive Systems , vol.6 , pp. 121-137
    • Erbe, L.H.1    Peterson, A.2
  • 12
    • 0002297188 scopus 로고    scopus 로고
    • Eigenvalue conditions and positive solutions
    • L.H. Erbe, and A. Peterson Eigenvalue conditions and positive solutions J. Differ. Equations Appl. 6 2000 165 191
    • (2000) J. Differ. Equations Appl. , vol.6 , pp. 165-191
    • Erbe, L.H.1    Peterson, A.2
  • 13
    • 0033834427 scopus 로고    scopus 로고
    • Positive solutions for nonlinear differential equation on a measure chain
    • L.H. Erbe, and A. Peterson Positive solutions for nonlinear differential equation on a measure chain Mathl. Comput. Modelling 32 5/6 2000 571 585
    • (2000) Mathl. Comput. Modelling , vol.32 , Issue.56 , pp. 571-585
    • Erbe, L.H.1    Peterson, A.2
  • 14
    • 84966234102 scopus 로고
    • On the existence of positive solutions of ordinary difference equations
    • L.H. Erbe, and H.Y. Wang On the existence of positive solutions of ordinary difference equations Proc. Amer. Math. Soc. 120 1994 743 748
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 743-748
    • Erbe, L.H.1    Wang, H.Y.2
  • 15
    • 0031106937 scopus 로고    scopus 로고
    • Positive solutions for nonlinear eigenvalue problems
    • J. Henderson, and H.Y. Wang Positive solutions for nonlinear eigenvalue problems J. Math. Anal. Appl. 208 1997 252 259
    • (1997) J. Math. Anal. Appl. , vol.208 , pp. 252-259
    • Henderson, J.1    Wang, H.Y.2
  • 16
    • 0036833032 scopus 로고    scopus 로고
    • Positive solutions for eigenvalue problems on a measure chain
    • C.H. Hong, and C.C. Yeh Positive solutions for eigenvalue problems on a measure chain Nonlinear Analysis 51 2002 499 507
    • (2002) Nonlinear Analysis , vol.51 , pp. 499-507
    • Hong, C.H.1    Yeh, C.C.2
  • 18
    • 21344432523 scopus 로고    scopus 로고
    • On the existence of positive solutions of nonlinear differential equations
    • W.C. Lian, W.F. Wong, and C.C. Yeh On the existence of positive solutions of nonlinear differential equations Proc. Amer. Math. Soc. 124 1996 1117 1126
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 1117-1126
    • Lian, W.C.1    Wong, W.F.2    Yeh, C.C.3
  • 19
    • 0001926109 scopus 로고
    • Multiple stable solutions of nonlinear boundary value problems arising in chemical vector theory
    • D.S. Cohen Multiple stable solutions of nonlinear boundary value problems arising in chemical vector theory SIAM J. Appl. Math. 20 1971 1 13
    • (1971) SIAM J. Appl. Math. , vol.20 , pp. 1-13
    • Cohen, D.S.1
  • 20
    • 0001483956 scopus 로고
    • Stabilization of solutions of a degenerate nonlinear diffusion problem
    • D.A. Ronson, N.G. Crandall, and L.A. Peletier Stabilization of solutions of a degenerate nonlinear diffusion problem Nonl. Anal. 6 1982 1001 1022
    • (1982) Nonl. Anal. , vol.6 , pp. 1001-1022
    • Ronson, D.A.1    Crandall, N.G.2    Peletier, L.A.3
  • 22
    • 0001009926 scopus 로고
    • Some fixed point theorems on cone maps
    • D.J. Guo Some fixed point theorems on cone maps Kexue Tongbao 29 1984 575 578
    • (1984) Kexue Tongbao , vol.29 , pp. 575-578
    • Guo, D.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.