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Volumn 29, Issue 1-2, 2009, Pages 153-161

Solution and positive solution of a semilinear third-order equation

Author keywords

Maximum principle; Positive solution; Third order ordinary differential equation; Upper and lower solutions method

Indexed keywords


EID: 58149469948     PISSN: 15985865     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12190-008-0121-9     Document Type: Article
Times cited : (21)

References (9)
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    • Differential inequalities and existence theorems for second and third order boundary value problems
    • 1. G. Klaasen 1971 Differential inequalities and existence theorems for second and third order boundary value problems J. Differ. Equ. 10 529 537 10.1016/0022-0396(71)90010-6 288397 Klaasen, G.: Differential inequalities and existence theorems for second and third order boundary value problems. J. Differ. Equ. 10, 529–537 (1971)
    • (1971) J. Differ. Equ. , vol.10 , pp. 529-537
    • Klaasen, G.1
  • 2
    • 85121082517 scopus 로고    scopus 로고
    • 2. M. Greguš 1987 Third order linear differential equations Mathematics and Its Applications Reidel Dordrecht Greguš, M.: Third order linear differential equations. In: Mathematics and Its Applications. Reidel, Dordrecht (1987)
  • 3
    • 0041446681 scopus 로고
    • Topological transversality: application to third-order boundary vale problem
    • 3. D. O’Regan 1987 Topological transversality: application to third-order boundary vale problem SIAM J. Math. Anal. 19 630 641 10.1137/0518048 O’Regan, D.: Topological transversality: application to third-order boundary vale problem. SIAM J. Math. Anal. 19, 630–641 (1987)
    • (1987) SIAM J. Math. Anal. , vol.19 , pp. 630-641
    • O’Regan, D.1
  • 4
    • 21144482963 scopus 로고
    • Solution of third order differential equations relevant to draining and coating flows
    • 4. W.C. Troy 1993 Solution of third order differential equations relevant to draining and coating flows SIAM J. Math. Anal. 24 155 171 0807.34030 10.1137/0524010 1199532 Troy, W.C.: Solution of third order differential equations relevant to draining and coating flows. SIAM J. Math. Anal. 24, 155–171 (1993)
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 155-171
    • Troy, W.C.1
  • 5
    • 0000934317 scopus 로고
    • The method of lower and upper solutions for second, third, fourth and higher order boundary value problems
    • 5. A. Cabada 1994 The method of lower and upper solutions for second, third, fourth and higher order boundary value problems J. Math. Anal. Appl. 185 302 320 0807.34023 10.1006/jmaa.1994.1250 1283059 Cabada, A.: The method of lower and upper solutions for second, third, fourth and higher order boundary value problems. J. Math. Anal. Appl. 185, 302–320 (1994)
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 302-320
    • Cabada, A.1
  • 6
    • 0032061637 scopus 로고    scopus 로고
    • Multiplicity results for a third order boundary value problem at resonance
    • 6. R. Ma 1998 Multiplicity results for a third order boundary value problem at resonance Nonlinear Anal. 32 493 500 0932.34014 10.1016/S0362-546X(97)00494-X 1611154 Ma, R.: Multiplicity results for a third order boundary value problem at resonance. Nonlinear Anal. 32, 493–500 (1998)
    • (1998) Nonlinear Anal. , vol.32 , pp. 493-500
    • Ma, R.1
  • 7
    • 0035457390 scopus 로고    scopus 로고
    • On Kneser solution of nonlinear third order differential equations
    • 7. M. Bartušek M. Cecchi M. Marini 2001 On Kneser solution of nonlinear third order differential equations J. Math. Anal. Appl. 261 72 84 0995.34025 10.1006/jmaa.2000.7473 1850957 Bartušek, M., Cecchi, M., Marini, M.: On Kneser solution of nonlinear third order differential equations. J. Math. Anal. Appl. 261, 72–84 (2001)
    • (2001) J. Math. Anal. Appl. , vol.261 , pp. 72-84
    • Bartušek, M.1    Cecchi, M.2    Marini, M.3
  • 8
    • 31244434252 scopus 로고    scopus 로고
    • The existence of solutions for a third order two-point boundary value problem
    • 8. Q. Yao Y. Feng 2002 The existence of solutions for a third order two-point boundary value problem Appl. Math. Lett. 15 227 232 1008.34010 10.1016/S0893-9659(01)00122-7 1880762 Yao, Q., Feng, Y.: The existence of solutions for a third order two-point boundary value problem. Appl. Math. Lett. 15, 227–232 (2002)
    • (2002) Appl. Math. Lett. , vol.15 , pp. 227-232
    • Yao, Q.1    Feng, Y.2
  • 9
    • 0003653465 scopus 로고
    • Monotone Iterative Techniques for Nonlinear Differential Equations
    • 9. G.S. Ladde V. Lakshmikantham A.S. Vatsala 1986 Monotone Iterative Techniques for Nonlinear Differential Equations Pitman Boston Ladde, G.S., Lakshmikantham, V., Vatsala, A.S.: Monotone Iterative Techniques for Nonlinear Differential Equations. Pitman, Boston (1986)
    • (1986)
    • Ladde, G.S.1    Lakshmikantham, V.2    Vatsala, A.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.