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Volumn 322, Issue 2, 2006, Pages 735-748

Solvability for a third order discontinuous fully equation with nonlinear functional boundary conditions

Author keywords

Degree theory; Lower and upper solutions; Nagumo type condition; Third order functional problems

Indexed keywords


EID: 33747377196     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.09.065     Document Type: Article
Times cited : (22)

References (20)
  • 1
    • 0141738761 scopus 로고    scopus 로고
    • On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions
    • Cabada A., Grossinho M.R., and Minhós F. On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions. J. Math. Anal. Appl. 285 (2003) 174-190
    • (2003) J. Math. Anal. Appl. , vol.285 , pp. 174-190
    • Cabada, A.1    Grossinho, M.R.2    Minhós, F.3
  • 2
    • 33747333062 scopus 로고    scopus 로고
    • Existence of solutions of third-order functional problems with nonlinear boundary conditions
    • Cabada A., and Heikkila S. Existence of solutions of third-order functional problems with nonlinear boundary conditions. ANZIAM J. 45 (2004) 1-12
    • (2004) ANZIAM J. , vol.45 , pp. 1-12
    • Cabada, A.1    Heikkila, S.2
  • 3
    • 0033078481 scopus 로고    scopus 로고
    • Existence results for nonlinear problems with separated boundary conditions
    • Cabada A., and Lois S. Existence results for nonlinear problems with separated boundary conditions. Nonlinear Anal. 35 4 (1999) 449-456
    • (1999) Nonlinear Anal. , vol.35 , Issue.4 , pp. 449-456
    • Cabada, A.1    Lois, S.2
  • 4
    • 0033211011 scopus 로고    scopus 로고
    • Existence of solutions for discontinuous third-order boundary value problems
    • Cabada A., and Lois S. Existence of solutions 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
  • 5
    • 0141759519 scopus 로고
    • On a kind of nonlinear boundary value problem of third order differential equation
    • Chen G. 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
  • 6
    • 0001873738 scopus 로고    scopus 로고
    • Upper and lower solutions in the theory of ODE boundary value problems: Classical and recent results
    • Non-Linear Analysis and Boundary Value Problems for Ordinary Differential Equations. Udine, Springer, Vienna
    • de Coster C., and Habets P. Upper and lower solutions in the theory of ODE boundary value problems: Classical and recent results. Non-Linear Analysis and Boundary Value Problems for Ordinary Differential Equations. Udine. CISM Courses and Lectures vol. 371 (1996), Springer, Vienna 1-78
    • (1996) CISM Courses and Lectures , vol.371 , pp. 1-78
    • de Coster, C.1    Habets, P.2
  • 7
    • 3242699390 scopus 로고    scopus 로고
    • Existence of solutions for a class of third-order nonlinear boundary value problems
    • Du Z., Ge W., and Lin X. Existence of solutions for a class of third-order nonlinear boundary value problems. J. Math. Anal. Appl. 294 (2004) 104-112
    • (2004) J. Math. Anal. Appl. , vol.294 , pp. 104-112
    • Du, Z.1    Ge, W.2    Lin, X.3
  • 8
    • 11044234995 scopus 로고    scopus 로고
    • Fourth-order problems with nonlinear boundary conditions
    • Franco D., O'Regan D., and Perán J. Fourth-order problems with nonlinear boundary conditions. J. Comput. Appl. Math. 174 (2005) 315-327
    • (2005) J. Comput. Appl. Math. , vol.174 , pp. 315-327
    • Franco, D.1    O'Regan, D.2    Perán, J.3
  • 9
    • 4944235284 scopus 로고    scopus 로고
    • Iterative solutions for a beam equation with nonlinear boundary conditions of third order
    • Fu Ma T., and da Silva J. Iterative solutions for a beam equation with nonlinear boundary conditions of third order. Appl. Math. Comput. 159 (2004) 11-18
    • (2004) Appl. Math. Comput. , vol.159 , pp. 11-18
    • Fu Ma, T.1    da Silva, J.2
  • 10
    • 84950192244 scopus 로고
    • Existence and uniqueness theorems for the bending of an elastic beam equation
    • Gupta G. 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, G.1
  • 11
    • 0035422798 scopus 로고    scopus 로고
    • Existence result for some third order separated boundary value problems
    • Grossinho M., and Minhós F. 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.1    Minhós, F.2
  • 12
    • 33747332250 scopus 로고    scopus 로고
    • M. Grossinho, F. Minhós, A.I. Santos, A third order boundary value problem with one-sided Nagumo condition, Nonlinear Anal., in press
  • 13
    • 22344435955 scopus 로고    scopus 로고
    • Solvability of some third order boundary value problems with asymmetric unbounded nonlinearities
    • Grossinho M., Minhós F., and Santos A.I. Solvability of some third order boundary value problems with asymmetric unbounded nonlinearities. Nonlinear Anal. 62 (2005) 1235-1250
    • (2005) Nonlinear Anal. , vol.62 , pp. 1235-1250
    • Grossinho, M.1    Minhós, F.2    Santos, A.I.3
  • 14
    • 22144438705 scopus 로고    scopus 로고
    • Existence result for a third order O.D.E. with nonlinear boundary conditions in presence of a sign-type Nagumo control
    • Grossinho M., Minhós F., and Santos A.I. Existence result for a third order O.D.E. with nonlinear boundary conditions in presence of a sign-type Nagumo control. J. Math. Anal. Appl. 309 (2005) 271-283
    • (2005) J. Math. Anal. Appl. , vol.309 , pp. 271-283
    • Grossinho, M.1    Minhós, F.2    Santos, A.I.3
  • 15
    • 10044275913 scopus 로고    scopus 로고
    • Examples of the nonexistence of a solution in the presence of upper and lower solutions
    • Habets P., and Pouso R.L. Examples of the nonexistence of a solution in the presence of upper and lower solutions. ANZIAM J. 44 (2003) 591-594
    • (2003) ANZIAM J. , vol.44 , pp. 591-594
    • Habets, P.1    Pouso, R.L.2
  • 16
    • 0003295303 scopus 로고
    • Topological Degree Methods in Nonlinear Boundary Value Problems
    • Amer. Math. Soc., Providence, RI
    • Mawhin J. Topological Degree Methods in Nonlinear Boundary Value Problems. Regional Conf. Ser. Math. vol. 40 (1979), Amer. Math. Soc., Providence, RI
    • (1979) Regional Conf. Ser. Math. , vol.40
    • Mawhin, J.1
  • 17
    • 33747370646 scopus 로고    scopus 로고
    • F. Minhós, T. Gyulov, A.I. Santos, Existence and location result for a fourth order boundary value problem, Discrete Contin. Dyn. Syst., in press
  • 19
    • 84972577596 scopus 로고
    • On principally linear elliptic differential equations of the second order
    • Nagumo M. On principally linear elliptic differential equations of the second order. Osaka Math. J. 6 (1954) 207-229
    • (1954) Osaka Math. J. , vol.6 , pp. 207-229
    • Nagumo, M.1
  • 20
    • 0001437014 scopus 로고
    • Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions
    • Wang M.X., Cabada A., and Nieto J.J. Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions. Ann. Polon. Math. 58 (1993) 221-235
    • (1993) Ann. Polon. Math. , vol.58 , pp. 221-235
    • Wang, M.X.1    Cabada, A.2    Nieto, J.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.