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Volumn 63, Issue 2, 2005, Pages 237-246

Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem

Author keywords

Existence; Infinite solvability; Multiplicity; Periodic boundary value problem; Positive solution

Indexed keywords

NONLINEAR EQUATIONS; SET THEORY;

EID: 27544451616     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.05.009     Document Type: Article
Times cited : (47)

References (15)
  • 1
    • 0000934317 scopus 로고
    • The method of lower and upper solutions for second, third, fourth and higher order boundary value problems
    • A. Cabada, The method of lower and upper solutions for second, third, fourth and higher order boundary value problems, J. Math. Anal. Appl. 185 (1994) 302-320.
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 302-320
    • Cabada, A.1
  • 2
    • 0001258818 scopus 로고
    • The method of lower and upper solutions for third order periodic boundary value problems
    • A. Cabada, The method of lower and upper solutions for third order periodic boundary value problems, J. Math. Anal. Appl. 195 (1995) 568-589.
    • (1995) J. Math. Anal. Appl. , vol.195 , pp. 568-589
    • Cabada, A.1
  • 3
    • 0031281223 scopus 로고    scopus 로고
    • Maximum principles for fourth and sixth order periodic boundary problems
    • A. Cabada, S. Lions, Maximum principles for fourth and sixth order periodic boundary problems, Nonlinear Anal. TMA 29 (1997) 1161-1171.
    • (1997) Nonlinear Anal. TMA , vol.29 , pp. 1161-1171
    • Cabada, A.1    Lions, S.2
  • 5
    • 0242593196 scopus 로고    scopus 로고
    • Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces
    • D. Jiang, J. Chu, D. O'Regan, R.P. Agarwal, Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces, J. Math. Anal. Appl. 286 (2003) 563-576.
    • (2003) J. Math. Anal. Appl. , vol.286 , pp. 563-576
    • Jiang, D.1    Chu, J.2    O'Regan, D.3    Agarwal, R.P.4
  • 6
    • 0001443964 scopus 로고    scopus 로고
    • Multiple solutions of a nonlinear fourth order periodic boundary value problem
    • L. Kong, D. Jiang, Multiple solutions of a nonlinear fourth order periodic boundary value problem, Ann. Polon. Math. LXIV (1998) 265-270.
    • (1998) Ann. Polon. Math. , vol.64 , pp. 265-270
    • Kong, L.1    Jiang, D.2
  • 7
    • 0038789059 scopus 로고    scopus 로고
    • Positive solutions of fourth-order periodic boundary value problems
    • Y. Li, Positive solutions of fourth-order periodic boundary value problems, Nonlinear Anal. TMA 54 (2003) 1069-1078.
    • (2003) Nonlinear Anal. TMA , vol.54 , pp. 1069-1078
    • Li, Y.1
  • 8
    • 0032210594 scopus 로고    scopus 로고
    • Coincidence degree and periodic solutions of Duffing equations
    • S. Ma, Z. Wang, J. Yu, Coincidence degree and periodic solutions of Duffing equations, Nonlinear Anal. TMA 34 (1998) 443-460.
    • (1998) Nonlinear Anal. TMA , vol.34 , pp. 443-460
    • Ma, S.1    Wang, Z.2    Yu, J.3
  • 9
    • 0000408432 scopus 로고    scopus 로고
    • (4)(1) - λh(t) f (u(t)) = 0
    • in Chinese
    • (4)(1) - λh(t) f (u(t)) = 0, Chinese Annals of Math. 20A (1999) 575-578 (in Chinese).
    • (1999) Chinese Annals of Math. , vol.20 A , pp. 575-578
    • Yao, Q.1
  • 10
    • 23044490480 scopus 로고    scopus 로고
    • The singular second order nonlinear eigenvalue problem with infinitely many positive solutions
    • Q. Yao, The singular second order nonlinear eigenvalue problem with infinitely many positive solutions, Ann. Diff. Eqs. 17 (2001) 268-274.
    • (2001) Ann. Diff. Eqs. , vol.17 , pp. 268-274
    • Yao, Q.1
  • 11
    • 27344436807 scopus 로고    scopus 로고
    • Existence and multiplicity of positive solutions for a class of second-order three-point boundary value problems
    • in Chinese
    • Q. Yao, Existence and multiplicity of positive solutions for a class of second-order three-point boundary value problems, Acta Math. Sinica 45 (2002) 1057-1064 (in Chinese).
    • (2002) Acta Math. Sinica , vol.45 , pp. 1057-1064
    • Yao, Q.1
  • 12
    • 0037466707 scopus 로고    scopus 로고
    • On the positive solutions of Lidstone boundary value problems
    • Q. Yao, On the positive solutions of Lidstone boundary value problems, Appl. Math. & Comput. 137 (2003) 477-485.
    • (2003) Appl. Math. & Comput. , vol.137 , pp. 477-485
    • Yao, Q.1
  • 13
    • 4544316302 scopus 로고    scopus 로고
    • Existence of solutions and positive solutions to a fourth-order BVP with second derivative
    • Q. Yao, Existence of solutions and positive solutions to a fourth-order BVP with second derivative, J. Zhejiang Univ. Sci. 5 (2004) 353-357.
    • (2004) J. Zhejiang Univ. Sci. , vol.5 , pp. 353-357
    • Yao, Q.1
  • 14
    • 27344442755 scopus 로고    scopus 로고
    • On the positive solutions of a nonlinear fourth-order boundary value problem with two parameters
    • Q- Yao, On the positive solutions of a nonlinear fourth-order boundary value problem with two parameters, Applicable Analysis 83 (2004) 97-107.
    • (2004) Applicable Analysis , vol.83 , pp. 97-107
    • Yao, Q.1
  • 15
    • 1242285075 scopus 로고    scopus 로고
    • Positive solutions for eigenvalue problems of fourth-order elastic beam equations
    • Q. Yao, Positive solutions for eigenvalue problems of fourth-order elastic beam equations, Appl. Math. Letters 17 (2004) 237-243.
    • (2004) Appl. Math. Letters , vol.17 , pp. 237-243
    • Yao, Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.