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Volumn 60, Issue 6, 2005, Pages 1151-1162

Existence and multiplicity of solutions for four-point boundary value problems at resonance

Author keywords

At resonance; Four point boundary value problem; Upper and lower solutions

Indexed keywords

AT RESONANCE; FOUR-POINT BOUNDARY VALUE PROBLEM; MAWHIN CONTINUATION THEOREM; UPPER AND LOWER SOLUTIONS;

EID: 11344295050     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2004.10.013     Document Type: Article
Times cited : (38)

References (19)
  • 2
    • 0001560551 scopus 로고    scopus 로고
    • On a m-point nonlinear boundary value problems
    • W. Feng On a m-point nonlinear boundary value problems Nonlinear Anal. TMA 30 1997 5369 5370
    • (1997) Nonlinear Anal. TMA , vol.30 , pp. 5369-5370
    • Feng, W.1
  • 3
    • 0031571521 scopus 로고    scopus 로고
    • Solvability of a m-point boundary value problems with nonlinear growth
    • W. Feng, and J.R.L. Webb Solvability of a m-point boundary value problems with nonlinear growth J. Math. Anal. Appl. 212 1997 467 480
    • (1997) J. Math. Anal. Appl. , vol.212 , pp. 467-480
    • Feng, W.1    Webb, J.R.L.2
  • 4
    • 0001367342 scopus 로고    scopus 로고
    • Solvability of a three-point nonlinear boundary value problems at resonance
    • W. Feng, and J.R.L. Webb Solvability of a three-point nonlinear boundary value problems at resonance Nonlinear Anal. TMA 30 1997 3227 3238
    • (1997) Nonlinear Anal. TMA , vol.30 , pp. 3227-3238
    • Feng, W.1    Webb, J.R.L.2
  • 5
    • 0031567816 scopus 로고    scopus 로고
    • A sharper condition for the solvability of a three-point second order boundary value problem
    • C.P. Gupta A sharper condition for the solvability of a three-point second order boundary value problem J. Math. Anal. Appl. 205 1997 579 586
    • (1997) J. Math. Anal. Appl. , vol.205 , pp. 579-586
    • Gupta, C.P.1
  • 6
    • 0034692193 scopus 로고    scopus 로고
    • Existence of multiple solutions for second order boundary value problems
    • J. Henderson, and H.B. Thompson Existence of multiple solutions for second order boundary value problems J. Differential Equations 166 2000 443 454
    • (2000) J. Differential Equations , vol.166 , pp. 443-454
    • Henderson, J.1    Thompson, H.B.2
  • 7
    • 0000384611 scopus 로고
    • Nonlocal boundary value problem of the first kind for a Sturm-Liuville operator in its differential and finite difference aspects
    • V.A. Il'in, and E.I. Moiseev Nonlocal boundary value problem of the first kind for a Sturm-Liuville operator in its differential and finite difference aspects Differential Equations 23 1987 803 810
    • (1987) Differential Equations , vol.23 , pp. 803-810
    • Il'In, V.A.1    Moiseev, E.I.2
  • 8
    • 0000384610 scopus 로고
    • Nonlocal boundary value problem of the second kind for a Sturm-Liuville operator
    • V.A. Il'in, and E.I. Moiseev Nonlocal boundary value problem of the second kind for a Sturm-Liuville operator Differential Equations 23 1987 979 987
    • (1987) Differential Equations , vol.23 , pp. 979-987
    • Il'In, V.A.1    Moiseev, E.I.2
  • 9
    • 0037097110 scopus 로고    scopus 로고
    • Solvability of multi-point boundary value problem at resonance (III)
    • B. Liu Solvability of multi-point boundary value problem at resonance (III) Appl. Math. Comput. 129 2002 119 143
    • (2002) Appl. Math. Comput. , vol.129 , pp. 119-143
    • Liu, B.1
  • 10
    • 0037443323 scopus 로고    scopus 로고
    • Solvability of multi-point boundary value problem at resonance (II)
    • B. Liu Solvability of multi-point boundary value problem at resonance (II) Appl. Math. Comput. 136 2003 353 377
    • (2003) Appl. Math. Comput. , vol.136 , pp. 353-377
    • Liu, B.1
  • 11
    • 0036555707 scopus 로고    scopus 로고
    • Solvability of multi-point boundary value problem at resonance (I)
    • B. Liu, and J.S. Yu Solvability of multi-point boundary value problem at resonance (I) Indian J. Pure and Appl. Math. 33 2002 475 494
    • (2002) Indian J. Pure and Appl. Math. , vol.33 , pp. 475-494
    • Liu, B.1    Yu, J.S.2
  • 12
    • 3342898092 scopus 로고    scopus 로고
    • Positive solutions of nonlinear three-point boundary value problem
    • R.Y. Ma Positive solutions of nonlinear three-point boundary value problem Electron. J. Differential Equations 34 1999 1 8
    • (1999) Electron. J. Differential Equations , vol.34 , pp. 1-8
    • Ma, R.Y.1
  • 13
    • 0000897074 scopus 로고    scopus 로고
    • Positive solutions for second order three-point boundary value problem
    • R.Y. Ma Positive solutions for second order three-point boundary value problem Appl. Math. Lett. 14 2001 1 5
    • (2001) Appl. Math. Lett. , vol.14 , pp. 1-5
    • Ma, R.Y.1
  • 14
    • 0037409273 scopus 로고    scopus 로고
    • Multiplicity results for a three-point boundary value problem at resonance
    • R.Y. Ma Multiplicity results for a three-point boundary value problem at resonance Nonlinear Anal. TMA 53 2003 777 789
    • (2003) Nonlinear Anal. TMA , vol.53 , pp. 777-789
    • Ma, R.Y.1
  • 15
    • 0002113063 scopus 로고
    • Topological degree and boundary value problems for nonlinear differential equations
    • P.M. Fitzpertrick M. Martelli J. Mawhin R. Nussbaum Springer New York/Berlin
    • J. Mawhin Topological degree and boundary value problems for nonlinear differential equations P.M. Fitzpertrick M. Martelli J. Mawhin R. Nussbaum Topological Methods for Ordinary Differential Equations, Lecture Notes in Mathematics vol. 1537 1991 Springer New York/Berlin
    • (1991) Topological Methods for Ordinary Differential Equations, Lecture Notes in Mathematics , vol.1537
    • Mawhin, J.1
  • 16
    • 0003295303 scopus 로고
    • Topological degree methods in nonlinear boundary value problems
    • American Mathematical Society, Providence, RI
    • J. Mawhin, Topological degree methods in nonlinear boundary value problems, in: NSFCBMS Regional Conference Series in Mathematics, American Mathematical Society, Providence, RI, 1979.
    • (1979) NSFCBMS Regional Conference Series in Mathematics
    • Mawhin, J.1
  • 17
    • 0001758037 scopus 로고
    • Multiplicity results for four-point boundary value problems
    • I. Rachůnková Multiplicity results for four-point boundary value problems Nonlinear Anal. TMA 18 1992 495 505
    • (1992) Nonlinear Anal. TMA , vol.18 , pp. 495-505
    • Rachůnková, I.1
  • 18
    • 0010999023 scopus 로고
    • On the existence of two solutions of the four-point problem
    • I. Rachůnková On the existence of two solutions of the four-point problem J. Math. Anal. Appl. 193 1995 245 254
    • (1995) J. Math. Anal. Appl. , vol.193 , pp. 245-254
    • Rachůnková, I.1
  • 19
    • 0000090767 scopus 로고    scopus 로고
    • Upper and lower solutions and topological degree
    • I. Rachůnková Upper and lower solutions and topological degree J. Math. Anal. Appl. 234 1999 311 327
    • (1999) J. Math. Anal. Appl. , vol.234 , pp. 311-327
    • Rachůnková, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.