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Volumn 69, Issue 8, 2008, Pages 2683-2694

Existence and multiplicity of positive solutions to a singular elastic beam equation rigidly fixed at both ends

Author keywords

Boundary value problem; Existence; Multiplicity; Nonlinear ordinary differential equation; Positive solution; Singularity

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; INITIAL VALUE PROBLEMS; BOUNDARY VALUE PROBLEMS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 50349085735     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.08.043     Document Type: Article
Times cited : (20)

References (17)
  • 1
    • 5844393936 scopus 로고
    • Iterative methods for fourth order boundary value problem
    • Agarwal R.P., and Chow Y.M. Iterative methods for fourth order boundary value problem. J. Comput. Appl. Math. 10 (1984) 203-217
    • (1984) J. Comput. Appl. Math. , vol.10 , pp. 203-217
    • Agarwal, R.P.1    Chow, Y.M.2
  • 2
    • 84950192244 scopus 로고
    • Existence and uniqueness results for the bending of an beam equation
    • Gupta C.P. Existence and uniqueness results for the bending of an beam equation. Appl. Anal. 26 (1988) 289-304
    • (1988) Appl. Anal. , vol.26 , pp. 289-304
    • Gupta, C.P.1
  • 3
    • 0030186866 scopus 로고    scopus 로고
    • Uniqueness of positive solutions for some nonlinear fourth-order operators
    • Dalmasso R. Uniqueness of positive solutions for some nonlinear fourth-order operators. J. Math. Anal. Appl. 201 (1996) 152-168
    • (1996) J. Math. Anal. Appl. , vol.201 , pp. 152-168
    • Dalmasso, R.1
  • 4
    • 33845867279 scopus 로고    scopus 로고
    • Positive solutions for nonlinear elastic beam models
    • Lou B. Positive solutions for nonlinear elastic beam models. Int. J. Math. Math. Sci. 27 (2001) 365-375
    • (2001) Int. J. Math. Math. Sci. , vol.27 , pp. 365-375
    • Lou, B.1
  • 5
    • 33645162808 scopus 로고    scopus 로고
    • Existence of multiple positive solutions for a class of fourth-order two-point boundary value problems
    • (in Chinese)
    • Ma R., and Wu H. Existence of multiple positive solutions for a class of fourth-order two-point boundary value problems. Acta Math. Sci. Ser. A 22A (2002) 244-249 (in Chinese)
    • (2002) Acta Math. Sci. Ser. A , vol.22 A , pp. 244-249
    • Ma, R.1    Wu, H.2
  • 6
    • 1942476075 scopus 로고    scopus 로고
    • Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems
    • Kormam P. Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems. Proc. Roy. Soc. Edinburgh Sect. A 134 (2004) 179-190
    • (2004) Proc. Roy. Soc. Edinburgh Sect. A , vol.134 , pp. 179-190
    • Kormam, P.1
  • 7
    • 1242285075 scopus 로고    scopus 로고
    • Positive solutions for eigenvalue problems of fourth-order elastic beam equations
    • Yao Q. Positive solutions for eigenvalue problems of fourth-order elastic beam equations. Appl. Math. Lett. 17 (2004) 237-243
    • (2004) Appl. Math. Lett. , vol.17 , pp. 237-243
    • Yao, Q.1
  • 8
    • 44649141654 scopus 로고    scopus 로고
    • Existence and multiplicity of solutions for class of nonlinear elastic beam equations with bounded-below nonlinearity
    • (in Chinese)
    • Yao Q. Existence and multiplicity of solutions for class of nonlinear elastic beam equations with bounded-below nonlinearity. Acta Math. Appl. Sin., Chinese Ser. 27 (2004) 117-122 (in Chinese)
    • (2004) Acta Math. Appl. Sin., Chinese Ser. , vol.27 , pp. 117-122
    • Yao, Q.1
  • 9
    • 42349083527 scopus 로고    scopus 로고
    • Existence of positive solutions for a class of singular boundary value problems of fourth order
    • Xiong M. Existence of positive solutions for a class of singular boundary value problems of fourth order. Acta Math. Appl. Sin. Engl. Ser. 20 (2004) 665-674
    • (2004) Acta Math. Appl. Sin. Engl. Ser. , vol.20 , pp. 665-674
    • Xiong, M.1
  • 10
    • 33645152851 scopus 로고    scopus 로고
    • Positive solutions of singular sublinear fourth-order boundary value problems
    • Ma R., and Tisdell C.C. Positive solutions of singular sublinear fourth-order boundary value problems. Appl. Anal. 84 (2005) 1199-1220
    • (2005) Appl. Anal. , vol.84 , pp. 1199-1220
    • Ma, R.1    Tisdell, C.C.2
  • 11
    • 44649146236 scopus 로고    scopus 로고
    • Solutions and positive solutions of a weak semipositone beam equation fixed at both ends
    • (in Chinese)
    • Yao Q. Solutions and positive solutions of a weak semipositone beam equation fixed at both ends. J. Shandong Univ. Nat. Sci. 41 6 (2006) 6-10 (in Chinese)
    • (2006) J. Shandong Univ. Nat. Sci. , vol.41 , Issue.6 , pp. 6-10
    • Yao, Q.1
  • 12
    • 0000408432 scopus 로고    scopus 로고
    • (4) (t) - λ h (t) f (u (t)) = 0
    • (in Chinese)
    • (4) (t) - λ h (t) f (u (t)) = 0. Chinese Ann. Math. 20A (1999) 575-578 (in Chinese)
    • (1999) Chinese Ann. Math. , vol.20 A , pp. 575-578
    • Yao, Q.1    Bai, Z.2
  • 13
    • 0004582241 scopus 로고    scopus 로고
    • i) boundary value problems with positive/nonpositive nonlinearities
    • i) boundary value problems with positive/nonpositive nonlinearities. J. Math. Anal. Appl. 243 (2000) 293-312
    • (2000) J. Math. Anal. Appl. , vol.243 , pp. 293-312
    • Wong, P.J.Y.1
  • 15
    • 23044489513 scopus 로고    scopus 로고
    • Positive solutions of a class of singular sublinear two-point boundary value problems
    • (in Chinese)
    • Yao Q. Positive solutions of a class of singular sublinear two-point boundary value problems. Acta Math. Appl. Sin. Chinese Ser. 24 (2001) 522-526 (in Chinese)
    • (2001) Acta Math. Appl. Sin. Chinese Ser. , vol.24 , pp. 522-526
    • Yao, Q.1
  • 16
    • 33750631937 scopus 로고    scopus 로고
    • Existence of n positive solutions to general Lidstone boundary value problems
    • (in Chinese)
    • Yao Q. Existence of n positive solutions to general Lidstone boundary value problems. Acta Math. Sin. (Chinese Ser.) 48 (2005) 365-376 (in Chinese)
    • (2005) Acta Math. Sin. (Chinese Ser.) , vol.48 , pp. 365-376
    • Yao, Q.1
  • 17
    • 33750631877 scopus 로고    scopus 로고
    • Existence of n solutions and/or positive solutions to a semipositone elastic beam equation
    • Yao Q. Existence of n solutions and/or positive solutions to a semipositone elastic beam equation. Nonlinear Anal. 66 (2007) 138-150
    • (2007) Nonlinear Anal. , vol.66 , pp. 138-150
    • Yao, Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.