메뉴 건너뛰기




Volumn 13, Issue 1, 2009, Pages 11-20

Approximation of solutions of the forced duffing equation with m-point boundary conditions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 67649221894     PISSN: 10832564     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (31)
  • 2
    • 0032091477 scopus 로고    scopus 로고
    • Monotone iterative method for functional-differential equations
    • J.J. Nieto, Y. Jiang, Y. Jurang, Monotone iterative method for functional-differential equations, Nonlinear Anal. 32 (1998), 741-747.
    • (1998) Nonlinear Anal , vol.32 , pp. 741-747
    • Nieto, J.J.1    Jiang, Y.2    Jurang, Y.3
  • 3
    • 38849135725 scopus 로고    scopus 로고
    • Monotone iterative technique for semilinear elliptic systems
    • A.S. Vatsala, J. Yang, Monotone iterative technique for semilinear elliptic systems, Bound. Value Probl. 2 (2005), 93-106.
    • (2005) Bound. Value Probl , vol.2 , pp. 93-106
    • Vatsala, A.S.1    Yang, J.2
  • 4
    • 30944432345 scopus 로고    scopus 로고
    • Monotone iterative technique for periodic boundary value problems with causal operators
    • Z. Drici, F.A. McRae, J.V. Devi, Monotone iterative technique for periodic boundary value problems with causal operators, Nonlinear Anal. 64 (2006), 1271-1277.
    • (2006) Nonlinear Anal , vol.64 , pp. 1271-1277
    • Drici, Z.1    McRae, F.A.2    Devi, J.V.3
  • 5
    • 1642519758 scopus 로고    scopus 로고
    • On monotone method for first order and second order periodic boundary value problems and periodic solutions of functional differential equations
    • D. Jiang, J.J. Nieto, Wenjie Zuo, On monotone method for first order and second order periodic boundary value problems and periodic solutions of functional differential equations, J. Math. Anal. Appl. 289 (2004), 691-699
    • (2004) J. Math. Anal. Appl , vol.289 , pp. 691-699
    • Jiang, D.1    Nieto, J.J.2    Zuo, W.3
  • 6
    • 33750447964 scopus 로고    scopus 로고
    • Monotone method for first-order functional differential equations
    • J.J. Nieto, R. Rodriguez-Lopez, Monotone method for first-order functional differential equations, Comput. Math. Appl. 52 (2006), 471-484.
    • (2006) Comput. Math. Appl , vol.52 , pp. 471-484
    • Nieto, J.J.1    Rodriguez-Lopez, R.2
  • 7
    • 33750060080 scopus 로고    scopus 로고
    • The monotone iterative technique for impulsive hybrid set valued integro-differential equations
    • B. Ahmad, S. Sivasundaram, The monotone iterative technique for impulsive hybrid set valued integro-differential equations, Nonlinear Anal. 65 (2006), 2260-2276.
    • (2006) Nonlinear Anal , vol.65 , pp. 2260-2276
    • Ahmad, B.1    Sivasundaram, S.2
  • 8
    • 0007216401 scopus 로고    scopus 로고
    • Rapid convergence of the iterative technique for first order initial value problems
    • A. Cabada, J.J. Nieto, Rapid convergence of the iterative technique for first order initial value problems, Appl. Math. Comput. 87 (1997), 217-226.
    • (1997) Appl. Math. Comput , vol.87 , pp. 217-226
    • Cabada, A.1    Nieto, J.J.2
  • 9
    • 0002470530 scopus 로고
    • Generalized quasilinearization for nonlinear first order ordinary differential equations
    • V. Lakshmikantham, J.J. Nieto, Generalized quasilinearization for nonlinear first order ordinary differential equations, Nonlinear Times &Digest 2 (1995), 1-10.
    • (1995) Nonlinear Times &Digest , vol.2 , pp. 1-10
    • Lakshmikantham, V.1    Nieto, J.J.2
  • 12
    • 0035529805 scopus 로고    scopus 로고
    • Quasilinearization and rate of convergence for higher order nonlinear periodic boundary value problems
    • A. Cabada, J.J. Nieto, Quasilinearization and rate of convergence for higher order nonlinear periodic boundary value problems, J. Optim. Theory Appl. 108 (2001), 97-107.
    • (2001) J. Optim. Theory Appl , vol.108 , pp. 97-107
    • Cabada, A.1    Nieto, J.J.2
  • 13
    • 0041821709 scopus 로고    scopus 로고
    • The Bellman-Kalaba-Lakshmikantham quasilinearization method for Neumann problems
    • B. Ahmad, J.J. Nieto, N. Shahzad, The Bellman-Kalaba-Lakshmikantham quasilinearization method for Neumann problems, J. Math. Anal. Appl. 257 (2001), 356-363.
    • (2001) J. Math. Anal. Appl , vol.257 , pp. 356-363
    • Ahmad, B.1    Nieto, J.J.2    Shahzad, N.3
  • 14
    • 0037114109 scopus 로고    scopus 로고
    • Generalized quasilinearization method for mixed boundary value problems
    • B. Ahmad, J.J. Nieto, N. Shahzad, Generalized quasilinearization method for mixed boundary value problems, Appl. Math. Comput. 133 (2002), 423-429.
    • (2002) Appl. Math. Comput , vol.133 , pp. 423-429
    • Ahmad, B.1    Nieto, J.J.2    Shahzad, N.3
  • 15
    • 33746917533 scopus 로고    scopus 로고
    • Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow
    • electronic, Art, 9 pp
    • F.T. Akyildiz, K. Vajravelu, Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow, Differ. Equ. Nonlinear Mech. Art. ID 71717 (2006), 9 pp. (electronic).
    • (2006) Differ. Equ. Nonlinear Mech , vol.ID 71717
    • Akyildiz, F.T.1    Vajravelu, K.2
  • 16
    • 33745164886 scopus 로고    scopus 로고
    • A quasilinearization method for a class of integro-differential equations with mixed nonlinearities
    • B. Ahmad, A quasilinearization method for a class of integro-differential equations with mixed nonlinearities, Nonlinear Anal. Real World Appl. 7 (2006), 997-1004.
    • (2006) Nonlinear Anal. Real World Appl , vol.7 , pp. 997-1004
    • Ahmad, B.1
  • 17
    • 51349095119 scopus 로고    scopus 로고
    • Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions
    • B. Ahmad, J. J. Nieto, Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions, Nonlinear Anal. 69 (2008), 3291-3298.
    • (2008) Nonlinear Anal , vol.69 , pp. 3291-3298
    • Ahmad, B.1    Nieto, J.J.2
  • 18
    • 0035976505 scopus 로고    scopus 로고
    • Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
    • V.B. Mandelzweig, F. Tabakin, Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs, Computer Physics Comm. 141 (2001), 268-281.
    • (2001) Computer Physics Comm , vol.141 , pp. 268-281
    • Mandelzweig, V.B.1    Tabakin, F.2
  • 19
    • 0034253923 scopus 로고    scopus 로고
    • A nonlinear biomathematical model for the study of intracranial aneurysms
    • J.J. Nieto, A. Torres, A nonlinear biomathematical model for the study of intracranial aneurysms, J. Neurological Science 177 (2000), 18-23.
    • (2000) J. Neurological Science , vol.177 , pp. 18-23
    • Nieto, J.J.1    Torres, A.2
  • 20
    • 0038503403 scopus 로고    scopus 로고
    • Biomathematical modeling and analysis of blood flow in an intracranial aneurysms
    • S. Nikolov, S. Stoytchev, A. Torres, J.J. Nieto, Biomathematical modeling and analysis of blood flow in an intracranial aneurysms, Neurological Research 25 (2003), 497-504.
    • (2003) Neurological Research , vol.25 , pp. 497-504
    • Nikolov, S.1    Stoytchev, S.2    Torres, A.3    Nieto, J.J.4
  • 21
    • 0000384611 scopus 로고
    • Nonlocal boundary value problem of the first kind for a Sturm Liouville operator in its differential and finite difference aspects
    • V.A. Ilin, E.I. Moiseev, Nonlocal boundary value problem of the first kind for a Sturm Liouville operator in its differential and finite difference aspects, Differ. Equ. 23 (1987), 803-810.
    • (1987) Differ. Equ , vol.23 , pp. 803-810
    • Ilin, V.A.1    Moiseev, E.I.2
  • 22
    • 0000384610 scopus 로고
    • Nonlocal boundary value problem of the second kind for a Sturm Liouville operator
    • V.A. Ilin, E.I. Moiseev, Nonlocal boundary value problem of the second kind for a Sturm Liouville operator, Differ. Equ. 23 (1987), 979-987.
    • (1987) Differ. Equ , vol.23 , pp. 979-987
    • Ilin, V.A.1    Moiseev, E.I.2
  • 23
    • 0001070154 scopus 로고
    • Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
    • CP. Gupta, Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation, J. Math. Anal. Appl. 168 (1992), 540-551.
    • (1992) J. Math. Anal. Appl , vol.168 , pp. 540-551
    • Gupta, C.P.1
  • 24
    • 0001284792 scopus 로고
    • A second order m-point boundary value problem at resonance
    • CP. Gupta, A second order m-point boundary value problem at resonance, Nonlinear Anal. 24 (1995), 1483-1489.
    • (1995) Nonlinear Anal , vol.24 , pp. 1483-1489
    • Gupta, C.P.1
  • 25
    • 0002309040 scopus 로고
    • Positive solutions for higher order ordinary differential equations
    • P.W. Eloe, J. Handerson, Positive solutions for higher order ordinary differential equations, Electron. J. Differential Equations 3 (1995), 1-8.
    • (1995) Electron. J. Differential Equations , vol.3 , pp. 1-8
    • Eloe, P.W.1    Handerson, J.2
  • 26
    • 21344432523 scopus 로고    scopus 로고
    • On existence of positive solutions of nonlinear second order differential equations
    • W.C. Lian, F.H. Wong, CC. Yeh, On existence of positive solutions of nonlinear second order differential equations, Proc. Amer. Math. Soc. 124 (1996), 1111-1126.
    • (1996) Proc. Amer. Math. Soc , vol.124 , pp. 1111-1126
    • Lian, W.C.1    Wong, F.H.2    Yeh, C.C.3
  • 27
    • 0001333843 scopus 로고    scopus 로고
    • Positive solutions for a nonlinear three-point boundary value problem
    • R. Ma, Positive solutions for a nonlinear three-point boundary value problem, Electron. J. Differential Equations 34 (1998), 1-8.
    • (1998) Electron. J. Differential Equations , vol.34 , pp. 1-8
    • Ma, R.1
  • 28
    • 0035452062 scopus 로고    scopus 로고
    • Positive solutions of a nonlinear m-point boundary value problem
    • R. Ma, Positive solutions of a nonlinear m-point boundary value problem, Comput. Math. Appl. 42 (2001), 755-765.
    • (2001) Comput. Math. Appl , vol.42 , pp. 755-765
    • Ma, R.1
  • 29
    • 14844328106 scopus 로고    scopus 로고
    • Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions
    • P.W. Eloe, B. Ahmad, Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions, Appl. Math. Lett. 18 (2005), 521-527.
    • (2005) Appl. Math. Lett , vol.18 , pp. 521-527
    • Eloe, P.W.1    Ahmad, B.2
  • 30
    • 39749101463 scopus 로고    scopus 로고
    • The generalized quasilinearization method for second order three point boundary value problems
    • P. Minghe, S.K. Chang, The generalized quasilinearization method for second order three point boundary value problems, Nonlinear Anal. 68 (2008), 2779-2790.
    • (2008) Nonlinear Anal , vol.68 , pp. 2779-2790
    • Minghe, P.1    Chang, S.K.2
  • 31
    • 0142031022 scopus 로고    scopus 로고
    • Multiple positive solutions for nonlinear m-point boundary value problems
    • R. Ma, Multiple positive solutions for nonlinear m-point boundary value problems, Appl. Math. Comput. 148 (2004), 249-262.
    • (2004) Appl. Math. Comput , vol.148 , pp. 249-262
    • Ma, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.