메뉴 건너뛰기




Volumn 72, Issue 6, 2009, Pages 3216-3221

Existence of positive solutions of superlinear second-order Neumann boundary value problem

Author keywords

34B15; 34B18; 47H10; Neumann boundary value problem; Nontrivial solutions; Positive solutions; Topological degree theory; Unbounded from below

Indexed keywords

NEUMANN BOUNDARY VALUE PROBLEMS; NONTRIVIAL SOLUTION; POSITIVE SOLUTION; SECOND ORDERS; SUPERLINEAR; TOPOLOGICAL DEGREE THEORY;

EID: 73249137355     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.12.021     Document Type: Article
Times cited : (17)

References (15)
  • 1
    • 0030589786 scopus 로고    scopus 로고
    • A positive operator approach to the Neumann problem for a second order ordinary differential equation
    • Cabada A., and Sanchez L. A positive operator approach to the Neumann problem for a second order ordinary differential equation. J. Math. Anal. Appl. 204 (1996) 774-785
    • (1996) J. Math. Anal. Appl. , vol.204 , pp. 774-785
    • Cabada, A.1    Sanchez, L.2
  • 2
    • 0042292280 scopus 로고    scopus 로고
    • Existence of positive solutions to second order Neumann boundary value problem
    • Jiang D., and Liu H. Existence of positive solutions to second order Neumann boundary value problem. J. Math. Res. Expos. 20 (2000) 360-364
    • (2000) J. Math. Res. Expos. , vol.20 , pp. 360-364
    • Jiang, D.1    Liu, H.2
  • 3
    • 0346941595 scopus 로고    scopus 로고
    • Monotone method for the Neumann problem with lower and upper solutions in the reverse order
    • Cabada A., Habets P., and Lois S. Monotone method for the Neumann problem with lower and upper solutions in the reverse order. Appl. Math. Comput. 117 (2001) 1-14
    • (2001) Appl. Math. Comput. , vol.117 , pp. 1-14
    • Cabada, A.1    Habets, P.2    Lois, S.3
  • 4
    • 0035840382 scopus 로고    scopus 로고
    • A constructive monotone iterative method for second order BVP in the presence of lower and upper solutions
    • Cherpion M., De Coster C., and Habets P. A constructive monotone iterative method for second order BVP in the presence of lower and upper solutions. Appl. Math. Comput. 123 (2001) 75-91
    • (2001) Appl. Math. Comput. , vol.123 , pp. 75-91
    • Cherpion, M.1    De Coster, C.2    Habets, P.3
  • 5
    • 0036568079 scopus 로고    scopus 로고
    • Monotone method for singular Neumann problem
    • Yazidi N. Monotone method for singular Neumann problem. Nonlinear Anal. 49 (2002) 589-602
    • (2002) Nonlinear Anal. , vol.49 , pp. 589-602
    • Yazidi, N.1
  • 6
    • 0036833098 scopus 로고    scopus 로고
    • A Neumann problem at resonance with the nonlinearity restricted in one direction
    • Dong Y. A Neumann problem at resonance with the nonlinearity restricted in one direction. Nonlinear Anal. 51 (2002) 739-747
    • (2002) Nonlinear Anal. , vol.51 , pp. 739-747
    • Dong, Y.1
  • 7
    • 0042513670 scopus 로고    scopus 로고
    • Multiple positive solutions to second order Neumann boundary value problems
    • Sun J., and Li W. Multiple positive solutions to second order Neumann boundary value problems. Appl. Math. Comput. 146 (2003) 187-194
    • (2003) Appl. Math. Comput. , vol.146 , pp. 187-194
    • Sun, J.1    Li, W.2
  • 8
    • 3142688535 scopus 로고    scopus 로고
    • Optimal existence theory for single and multiple solutions to second order Neumann boundary value problems
    • Li X., and Jiang D. Optimal existence theory for single and multiple solutions to second order Neumann boundary value problems. Indian J. Pure Appl. Math. 35 (2004) 573-586
    • (2004) Indian J. Pure Appl. Math. , vol.35 , pp. 573-586
    • Li, X.1    Jiang, D.2
  • 9
    • 58049128803 scopus 로고    scopus 로고
    • Positive solutions of singular second-order Neumann boundary value problem
    • Li Z. Positive solutions of singular second-order Neumann boundary value problem. Ann. Differential Equations 21 (2005) 321-326
    • (2005) Ann. Differential Equations , vol.21 , pp. 321-326
    • Li, Z.1
  • 10
    • 34548638187 scopus 로고    scopus 로고
    • Positive solutions of Neumann problems with singularities
    • Chu J., Sun Y., and Chen H. Positive solutions of Neumann problems with singularities. J. Math. Anal. Appl. 337 (2008) 1267-1272
    • (2008) J. Math. Anal. Appl. , vol.337 , pp. 1267-1272
    • Chu, J.1    Sun, Y.2    Chen, H.3
  • 11
    • 21344469416 scopus 로고    scopus 로고
    • Existence results for superlinear semipositone BVPs
    • Anuradha V., Hai D.D., and Shivaji R. Existence results for superlinear semipositone BVPs. Proc. Amer. Math. Soc. 124 (1996) 757-763
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 757-763
    • Anuradha, V.1    Hai, D.D.2    Shivaji, R.3
  • 12
    • 0032638084 scopus 로고    scopus 로고
    • A note on existence of nonnegative solutions to singular semi-positone problems
    • Agarwal R.P., and O'Regan D. A note on existence of nonnegative solutions to singular semi-positone problems. Nonlinear Anal. 36 (1999) 615-622
    • (1999) Nonlinear Anal. , vol.36 , pp. 615-622
    • Agarwal, R.P.1    O'Regan, D.2
  • 13
    • 25144475912 scopus 로고    scopus 로고
    • Existence of positive periodic solutions to nonlinear second order differential equations
    • Li F., and Liang Z. Existence of positive periodic solutions to nonlinear second order differential equations. Appl. Math. Lett. 18 (2005) 1256-1264
    • (2005) Appl. Math. Lett. , vol.18 , pp. 1256-1264
    • Li, F.1    Liang, Z.2
  • 14
    • 0003742471 scopus 로고    scopus 로고
    • Shangdong Science and Technique Publishing House, Jinan (in Chinese)
    • Guo D. Nonlinear Functional Analysis (2001), Shangdong Science and Technique Publishing House, Jinan (in Chinese)
    • (2001) Nonlinear Functional Analysis
    • Guo, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.