메뉴 건너뛰기




Volumn 285, Issue 1, 2003, Pages 174-190

On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions

Author keywords

Lower and upper solutions; Third order functional problems; Laplacian problems

Indexed keywords


EID: 0141738761     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00388-3     Document Type: Article
Times cited : (44)

References (24)
  • 1
    • 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
  • 2
    • 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
  • 3
    • 0035285187 scopus 로고    scopus 로고
    • Extremality and comparison results for discontinuous third order functional initial-boundary value problems
    • A. Cabada, S. Heikkilä, Extremality and comparison results for discontinuous third order functional initial-boundary value problems, J. Math. Anal. Appl. 255 (2001) 195-212.
    • (2001) J. Math. Anal. Appl. , vol.255 , pp. 195-212
    • Cabada, A.1    Heikkilä, S.2
  • 4
    • 0034831843 scopus 로고    scopus 로고
    • Uniqueness, comparison and existence results for third order initial-boundary value problems
    • A. Cabada, S. Heikkilä, Uniqueness, comparison and existence results for third order initial-boundary value problems, Comput. Math. Appl. 41 (2001) 607-618.
    • (2001) Comput. Math. Appl. , vol.41 , pp. 607-618
    • Cabada, A.1    Heikkilä, S.2
  • 5
    • 85031079171 scopus 로고    scopus 로고
    • Existence of solutions of third order functional problems with nonlinear boundary conditions
    • submitted for publication
    • A. Cabada, S. Heikkilä, Existence of solutions of third order functional problems with nonlinear boundary conditions, ANZIAM J., submitted for publication.
    • ANZIAM J.
    • Cabada, A.1    Heikkilä, S.2
  • 6
    • 0033211011 scopus 로고    scopus 로고
    • Existence of solution for discontinuous third order boundary value problems
    • A. Cabada, S. Lois, Existence of solution for discontinuous third order boundary value problems, J. Comput. Appl. Math. 110 (1999) 105-114.
    • (1999) J. Comput. Appl. Math. , vol.110 , pp. 105-114
    • Cabada, A.1    Lois, S.2
  • 7
    • 0342520743 scopus 로고    scopus 로고
    • Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions
    • A. Cabada, R.L. Pouso, Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions, Nonlinear Anal. 42 (2000) 1377-1396.
    • (2000) Nonlinear Anal. , vol.42 , pp. 1377-1396
    • Cabada, A.1    Pouso, R.L.2
  • 8
    • 0032715611 scopus 로고    scopus 로고
    • Existence results for the problem (φ(u′))′ = f(t, u, u′) with nonlinear boundary conditions
    • A. Cabada, R.L. Pouso, Existence results for the problem (φ(u′))′ = f(t, u, u′) with nonlinear boundary conditions, Nonlinear Anal. 35 (1999) 221-231.
    • (1999) Nonlinear Anal. , vol.35 , pp. 221-231
    • Cabada, A.1    Pouso, R.L.2
  • 9
    • 0141759519 scopus 로고
    • On a kind of nonlinear boundary value problem of third order differential equation
    • G. Chen, On a kind of nonlinear boundary value problem of third order differential equation, Ann. Differential Equations 4 (1988) 381-389.
    • (1988) Ann. Differential Equations , vol.4 , pp. 381-389
    • Chen, G.1
  • 10
    • 0003902556 scopus 로고
    • Third Order Linear Differential Equations
    • Reidel, Dordrecht
    • M. Greguš, Third Order Linear Differential Equations, in: Mathematics and Its Applications, Reidel, Dordrecht, 1987.
    • (1987) Mathematics and Its Applications
    • Greguš, M.1
  • 11
    • 0001066736 scopus 로고
    • Symmetric equilibria for a beam with a nonlinear elastic foundation
    • M.R. Grossinho, T.F. Ma, Symmetric equilibria for a beam with a nonlinear elastic foundation, Portugal. Math. 51 (1994) 375-393.
    • (1994) Portugal. Math. , vol.51 , pp. 375-393
    • Grossinho, M.R.1    Ma, T.F.2
  • 12
    • 0035422798 scopus 로고    scopus 로고
    • Existence result for some third order separated boundary value problems
    • M.R. Grossinho, F. Minhós, Existence result for some third order separated boundary value problems, Nonlinear Anal. 47 (2001) 2407-2418.
    • (2001) Nonlinear Anal. , vol.47 , pp. 2407-2418
    • Grossinho, M.R.1    Minhós, F.2
  • 13
    • 0034230641 scopus 로고    scopus 로고
    • The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation
    • M.R. Grossinho, S. Tersian, The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation, Nonlinear Anal. 41 (2000) 417-431.
    • (2000) Nonlinear Anal. , vol.41 , pp. 417-431
    • Grossinho, M.R.1    Tersian, S.2
  • 14
    • 84950192244 scopus 로고
    • Existence and uniqueness theorems for the bending of an elastic beam equation
    • C.P. Gupta, Existence and uniqueness theorems for the bending of an elastic beam equation, Appl. Anal. 26 (1988) 289-304.
    • (1988) Appl. Anal. , vol.26 , pp. 289-304
    • Gupta, C.P.1
  • 15
    • 38249011459 scopus 로고
    • Remarks on the lower and upper solutions method for second- and third-order periodic boundary value problems
    • P. Omari, M. Trombetta, Remarks on the lower and upper solutions method for second- and third-order periodic boundary value problems, Appl. Math. Comput. 50 (1992) 1-21.
    • (1992) Appl. Math. Comput. , vol.50 , pp. 1-21
    • Omari, P.1    Trombetta, M.2
  • 16
    • 4243909103 scopus 로고    scopus 로고
    • Boundary value problems for discontinuous ordinary differential equations
    • Ph.D. thesis, University of Santiago de Compostela, (in Spanish)
    • R.L. Pouso, Boundary value problems for discontinuous ordinary differential equations, Ph.D. thesis, University of Santiago de Compostela, 1999 (in Spanish).
    • (1999)
    • Pouso, R.L.1
  • 17
    • 0141759466 scopus 로고
    • On some three-point problems for third-order differential equations
    • I. Rachunková, On some three-point problems for third-order differential equations, Math. Bohem. 117 (1992) 98-110.
    • (1992) Math. Bohem. , vol.117 , pp. 98-110
    • Rachunková, I.1
  • 19
    • 4244102827 scopus 로고
    • Constructions of lower and upper solutions for a nonlinear boundary value problem of the third order and their applications
    • J. Rusnák, Constructions of lower and upper solutions for a nonlinear boundary value problem of the third order and their applications, Math. Slovaca 40 (1990) 101-110.
    • (1990) Math. Slovaca , vol.40 , pp. 101-110
    • Rusnák, J.1
  • 20
    • 0141871130 scopus 로고
    • Existence theorems for a certain nonlinear boundary value problem of the third order
    • J. Rusnák, Existence theorems for a certain nonlinear boundary value problem of the third order, Math. Slovaca 37 (1987) 351-356.
    • (1987) Math. Slovaca , vol.37 , pp. 351-356
    • Rusnák, J.1
  • 21
    • 0001553305 scopus 로고
    • Existence of multiple solutions for a third-order three-point regular boundary value problem
    • M. Šenkyřík, Existence of multiple solutions for a third-order three-point regular boundary value problem, Math. Bohem. 119 (1994) 113-121.
    • (1994) Math. Bohem. , vol.119 , pp. 113-121
    • Šenkyřík, M.1
  • 22
    • 0012415906 scopus 로고
    • Method of lower and upper solutions for a third-order three-point regular boundary value problem
    • M. Šenkyřík, Method of lower and upper solutions for a third-order three-point regular boundary value problem, Acta Univ. Palack. Olomuc. Fac. Rerum. Natur. Math. 31 (1992) 60-70.
    • (1992) Acta Univ. Palack. Olomuc. Fac. Rerum. Natur. Math. , vol.31 , pp. 60-70
    • Šenkyřík, M.1
  • 23
    • 0141647609 scopus 로고
    • Existence of solutions of nonlinear two-point boundary value problems for third order nonlinear differential equations
    • J. Wang, Existence of solutions of nonlinear two-point boundary value problems for third order nonlinear differential equations, Northeast. Math. J. 7 (1991) 181-189.
    • (1991) Northeast. Math. J. , vol.7 , pp. 181-189
    • Wang, J.1
  • 24
    • 84972557535 scopus 로고
    • Existence and uniqueness of solutions for third order nonlinear boundary value problems
    • W. Zhao, Existence and uniqueness of solutions for third order nonlinear boundary value problems, Tôhoku Math. J. (2) 44 (1992) 545-555.
    • (1992) Tôhoku Math. J. , vol.44 , Issue.2 , pp. 545-555
    • Zhao, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.