메뉴 건너뛰기




Volumn 69, Issue 10, 2008, Pages 3310-3321

Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces

Author keywords

Boundary value problem; Existence; Fixed point index theory; Measure of noncompactness; Positive solution

Indexed keywords

BANACH SPACES; BOUNDARY VALUE PROBLEMS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); INTEGRAL EQUATIONS; OPTIMAL CONTROL SYSTEMS; SOLUTIONS; TOPOLOGY; TURBULENT FLOW;

EID: 51349129662     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.09.020     Document Type: Article
Times cited : (48)

References (27)
  • 1
    • 0034349808 scopus 로고    scopus 로고
    • Second order differential operators with integral boundary conditions and generation of semigroups
    • Gallardo J.M. Second order differential operators with integral boundary conditions and generation of semigroups. Rocky Mountain J. Math 30 (2000) 1265-1292
    • (2000) Rocky Mountain J. Math , vol.30 , pp. 1265-1292
    • Gallardo, J.M.1
  • 2
    • 3042530769 scopus 로고    scopus 로고
    • Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems
    • Karakostas G.L., and Tsamatos P.Ch. Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems. Electron. J. Differential Equations 30 (2002) 1-17
    • (2002) Electron. J. Differential Equations , vol.30 , pp. 1-17
    • Karakostas, G.L.1    Tsamatos, P.Ch.2
  • 3
    • 3042533193 scopus 로고    scopus 로고
    • On a nonlocal boundary-value problems for second order nonlinear singular differential equations
    • Lomtatidze A., and Malaguti L. On a nonlocal boundary-value problems for second order nonlinear singular differential equations. Georgian Math. J. 7 (2000) 133-154
    • (2000) Georgian Math. J. , vol.7 , pp. 133-154
    • Lomtatidze, A.1    Malaguti, L.2
  • 6
    • 33947175349 scopus 로고
    • On fourth-order boundary value problems arising in beam analysis
    • Agarwal R.P. On fourth-order boundary value problems arising in beam analysis. Differential Integral Equations 2 (1989) 91-110
    • (1989) Differential Integral Equations , vol.2 , pp. 91-110
    • Agarwal, R.P.1
  • 7
    • 0000784681 scopus 로고    scopus 로고
    • A generalized multi-point boundary value problem for second order ordinary differential equations
    • Gupta C.P. A generalized multi-point boundary value problem for second order ordinary differential equations. Appl. Math. Comput. 89 (1998) 133-146
    • (1998) Appl. Math. Comput. , vol.89 , pp. 133-146
    • Gupta, C.P.1
  • 8
    • 0346814131 scopus 로고
    • Solvability of an m-point boundary value problem for second order ordinary differential equations
    • Gupta C.P., Ntouyas S.K., and Tsamatos P.Ch. Solvability of an m-point boundary value problem for second order ordinary differential equations. J. Math. Anal. Appl. 189 (1995) 575-584
    • (1995) J. Math. Anal. Appl. , vol.189 , pp. 575-584
    • Gupta, C.P.1    Ntouyas, S.K.2    Tsamatos, P.Ch.3
  • 9
    • 33646381089 scopus 로고    scopus 로고
    • Positive solution for m-point boundary value problems of fourth order
    • Ma H.L. Positive solution for m-point boundary value problems of fourth order. J. Math. Anal. Appl. 321 (2006) 37-49
    • (2006) J. Math. Anal. Appl. , vol.321 , pp. 37-49
    • Ma, H.L.1
  • 10
    • 36148976423 scopus 로고    scopus 로고
    • Symmetric positive solutions for nonlocal boundary value problems of fourth order
    • 10.1016/j.na.2006.11.026
    • Ma H.L. Symmetric positive solutions for nonlocal boundary value problems of fourth order. Nonlinear Anal. (2007) 10.1016/j.na.2006.11.026
    • (2007) Nonlinear Anal.
    • Ma, H.L.1
  • 11
    • 51349140222 scopus 로고    scopus 로고
    • Multiple solutions of two-point boundary value problem of fourth-order ordinary differential equations in Banach space
    • (in Chinese)
    • Feng M.Q., and Zhang X.M. Multiple solutions of two-point boundary value problem of fourth-order ordinary differential equations in Banach space. Acta Anal. Funct. Appl. 6 (2004) 56-64 (in Chinese)
    • (2004) Acta Anal. Funct. Appl. , vol.6 , pp. 56-64
    • Feng, M.Q.1    Zhang, X.M.2
  • 12
    • 0001112212 scopus 로고
    • Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces
    • Guo D.J., and Lakshmikantham V. Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces. J. Math. Anal. Appl. 129 (1988) 211-222
    • (1988) J. Math. Anal. Appl. , vol.129 , pp. 211-222
    • Guo, D.J.1    Lakshmikantham, V.2
  • 16
    • 0037658906 scopus 로고    scopus 로고
    • Positive solutions of nonlinear three-point boundary-value problems
    • Ma R., and Wang H. Positive solutions of nonlinear three-point boundary-value problems. J. Math. Anal. Appl. 279 (2003) 216-227
    • (2003) J. Math. Anal. Appl. , vol.279 , pp. 216-227
    • Ma, R.1    Wang, H.2
  • 17
    • 84952401788 scopus 로고
    • On the existence of positive solutions of fourth-order ordinary differential equations
    • Ma R., and Wang H. On the existence of positive solutions of fourth-order ordinary differential equations. Appl. Anal. 59 (1995) 225-231
    • (1995) Appl. Anal. , vol.59 , pp. 225-231
    • Ma, R.1    Wang, H.2
  • 18
    • 0037098593 scopus 로고    scopus 로고
    • On the positive solutions of some nonlinear fourth-order beam equations
    • Bai Z., and Wang H. On the positive solutions of some nonlinear fourth-order beam equations. J. Math. Anal. Appl. 270 (2002) 357-368
    • (2002) J. Math. Anal. Appl. , vol.270 , pp. 357-368
    • Bai, Z.1    Wang, H.2
  • 19
    • 0037058264 scopus 로고    scopus 로고
    • A monotone method for constructing extremal solutions to fourth-order periodic boundary value problems
    • Jiang D.Q., Gao W.J., and Wan A. A monotone method for constructing extremal solutions to fourth-order periodic boundary value problems. Appl. Math. Comput. 132 (2002) 411-421
    • (2002) Appl. Math. Comput. , vol.132 , pp. 411-421
    • Jiang, D.Q.1    Gao, W.J.2    Wan, A.3
  • 20
    • 28444478348 scopus 로고    scopus 로고
    • Positive solutions of some singular m-point boundary value problems at non-resonance
    • Wei Z., and Pang C. Positive solutions of some singular m-point boundary value problems at non-resonance. Appl. Math. Comput. 171 (2005) 433-449
    • (2005) Appl. Math. Comput. , vol.171 , pp. 433-449
    • Wei, Z.1    Pang, C.2
  • 21
    • 13844270771 scopus 로고    scopus 로고
    • Positive solutions for m-point boundary-value problems
    • Cheung W.-S., and Ren J. Positive solutions for m-point boundary-value problems. J. Math. Anal. Appl. 303 (2005) 565-575
    • (2005) J. Math. Anal. Appl. , vol.303 , pp. 565-575
    • Cheung, W.-S.1    Ren, J.2
  • 22
    • 3242757384 scopus 로고    scopus 로고
    • Existence of two solutions of nonlinear m-point boundary value problem
    • Ren J., and Ge W. Existence of two solutions of nonlinear m-point boundary value problem. J. Beijing Inst. Technol. 12 (2003) 97-100
    • (2003) J. Beijing Inst. Technol. , vol.12 , pp. 97-100
    • Ren, J.1    Ge, W.2
  • 23
    • 1542511255 scopus 로고    scopus 로고
    • Positive solutions of m-point boundary value problems
    • Zhang G.W., and Sun J.X. Positive solutions of m-point boundary value problems. J. Math. Anal. Appl. 291 (2004) 406-418
    • (2004) J. Math. Anal. Appl. , vol.291 , pp. 406-418
    • Zhang, G.W.1    Sun, J.X.2
  • 24
    • 1642560661 scopus 로고    scopus 로고
    • Three positive solutions for higher order m point boundary value problems
    • Guo Y., Liu X., and Qiu J. Three positive solutions for higher order m point boundary value problems. J. Math. Anal. Appl. 289 (2004) 545-553
    • (2004) J. Math. Anal. Appl. , vol.289 , pp. 545-553
    • Guo, Y.1    Liu, X.2    Qiu, J.3
  • 25
    • 0036773372 scopus 로고    scopus 로고
    • The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems
    • Zhang Z., and Wang J. The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems. J. Comput. Appl. Math. 147 (2002) 41-52
    • (2002) J. Comput. Appl. Math. , vol.147 , pp. 41-52
    • Zhang, Z.1    Wang, J.2
  • 26
    • 34247862360 scopus 로고    scopus 로고
    • Positive solutions for a class of m-point singular boundary value problems
    • Feng M.Q., and Ge W.G. Positive solutions for a class of m-point singular boundary value problems. Math. Comput. Modelling 46 (2007) 375-383
    • (2007) Math. Comput. Modelling , vol.46 , pp. 375-383
    • Feng, M.Q.1    Ge, W.G.2
  • 27
    • 33748667577 scopus 로고    scopus 로고
    • Existence of positive solutions for singular eigenvalue problems
    • Feng M.Q., and Ge W.G. Existence of positive solutions for singular eigenvalue problems. Electron. J. Differential Equations 2006 105 (2006) 1-9
    • (2006) Electron. J. Differential Equations , vol.2006 , Issue.105 , pp. 1-9
    • Feng, M.Q.1    Ge, W.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.