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Volumn 276, Issue 1, 2002, Pages 357-372

The quasilinearization method for boundary value problems on time scales

Author keywords

Boundary value problem; Coupled solutions; Quasilinearization; Time scales

Indexed keywords


EID: 0036953285     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00466-3     Document Type: Article
Times cited : (18)

References (18)
  • 1
    • 0002864092 scopus 로고    scopus 로고
    • Basic calculus on time scales and some of its applications
    • R. Agarwal, M. Bohner, Basic calculus on time scales and some of its applications, Results Math. 35 (1999) 3-22.
    • (1999) Results Math. , vol.35 , pp. 3-22
    • Agarwal, R.1    Bohner, M.2
  • 2
    • 0003078471 scopus 로고    scopus 로고
    • Boundary value problems for a differential equation on measure chain
    • E. Akin, Boundary value problems for a differential equation on measure chain, Panamer. Math. J. 10 (2000) 17-30.
    • (2000) Panamer. Math. J. , vol.10 , pp. 17-30
    • Akin, E.1
  • 3
    • 0036538017 scopus 로고    scopus 로고
    • On Green's functions and positive solutions for boundary value problems on time scales
    • F.M. Atici, G.Sh. Guseinov, On Green's functions and positive solutions for boundary value problems on time scales, J Comput. Appl. Math. 141 (2002) 75-99.
    • (2002) J. Comput. Appl. Math. , vol.141 , pp. 75-99
    • Atici, F.M.1    Guseinov, G.Sh.2
  • 4
    • 0004264791 scopus 로고
    • Lecture Notes, Universität Augsburg, Augsburg
    • B. Aulbach, Analysis auf Zeitmengen, Lecture Notes, Universität Augsburg, Augsburg, 1990.
    • (1990) Analysis Auf Zeitmengen
    • Aulbach, B.1
  • 5
    • 0003924565 scopus 로고
    • Quasilinearization and Nonlinear Boundary Value Problems
    • Elsevier, New York
    • R. Bellman, R. Kalaba, Quasilinearization and Nonlinear Boundary Value Problems, Elsevier, New York, 1965.
    • (1965)
    • Bellman, R.1    Kalaba, R.2
  • 6
    • 0003749497 scopus 로고    scopus 로고
    • Dynamic Equations on Time Scales: An Introduction with Applications
    • Birkhäuser
    • M. Bohner, A.C, Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkhäuser, 2001.
    • (2001)
    • Bohner, M.1    Peterson, A.C.2
  • 7
    • 0032165472 scopus 로고    scopus 로고
    • A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations
    • P.W. Eloe, Y. Zhang, A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations, Nonlinear Anal. 33 (1998) 443-453.
    • (1998) Nonlinear Anal. , vol.33 , pp. 443-453
    • Eloe, P.W.1    Zhang, Y.2
  • 8
    • 0036538451 scopus 로고    scopus 로고
    • The method of quasilinearization and dynamic equations on compact measure chains
    • P. Eloe, The method of quasilinearization and dynamic equations on compact measure chains, J. Comput. Appl. Math. 141 (2002) 159-167.
    • (2002) J. Comput. Appl. Math. , vol.141 , pp. 159-167
    • Eloe, P.1
  • 9
    • 0003747133 scopus 로고
    • Ein Masskettenkalkul mit Anwendung auf Zentrumsmannigfaltigkeiten
    • Ph.D. thesis, Universität Wurzburg
    • S. Hilger, Ein Masskettenkalkul mit Anwendung auf Zentrumsmannigfaltigkeiten, Ph.D. thesis, Universität Wurzburg (1988).
    • (1988)
    • Hilger, S.1
  • 10
    • 84951604495 scopus 로고
    • Analysis on measure chains, a unified approach to continuous and discrete calculus
    • S. Hilger, Analysis on measure chains, a unified approach to continuous and discrete calculus, Results Math. 18 (1990) 18-56.
    • (1990) Results Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 11
    • 0001028781 scopus 로고    scopus 로고
    • Differential and difference calculus - Unified!
    • S. Hilger, Differential and difference calculus - unified!, Nonlinear Anal. 30 (1997) 2683-2694.
    • (1997) Nonlinear Anal. , vol.30 , pp. 2683-2694
    • Hilger, S.1
  • 14
    • 0001737580 scopus 로고
    • Monotone iterative method for dynamic systems on time scales
    • B. Kaymakqçlan, Monotone iterative method for dynamic systems on time scales, Dynamic Systems Appl. 2 (1993) 213-220.
    • (1993) Dynamic Systems Appl. , vol.2 , pp. 213-220
    • Kaymakqçlan, B.1
  • 15
    • 0003968331 scopus 로고    scopus 로고
    • Generalized Quasilinearization and Nonlinear Problems
    • Kluwer, Dordrecht
    • V. Lakshmikantham, A.S. Vatsala, Generalized Quasilinearization and Nonlinear Problems, Kluwer, Dordrecht, 1998.
    • (1998)
    • Lakshmikantham, V.1    Vatsala, A.S.2
  • 16
    • 0000200038 scopus 로고    scopus 로고
    • Dynamic systems on time scales and generalized quasilinearization
    • S. Leela, A.S. Vatsala, Dynamic systems on time scales and generalized quasilinearization, Nonlinear Stud. 3 (1996) 179-186.
    • (1996) Nonlinear Stud. , vol.3 , pp. 179-186
    • Leela, S.1    Vatsala, A.S.2
  • 17
    • 0033148921 scopus 로고    scopus 로고
    • Generalized quasili nearization method for second order boundary value problem
    • R.N. Mohapatra, K. Vajravelu, Y. Yin, Generalized quasili nearization method for second order boundary value problem, Nonlinear Anal. 36 (1999) 799-806.
    • (1999) Nonlinear Anal. , vol.36 , pp. 799-806
    • Mohapatra, R.N.1    Vajravelu, K.2    Yin, Y.3
  • 18
    • 0012617681 scopus 로고    scopus 로고
    • Second order periodic boundary value problems on time scales
    • to appear
    • S. Gulsen Topal, Second order periodic boundary value problems on time scales, J. Comput. Math. Appl., to appear.
    • J. Comput. Math. Appl.
    • Gulsen Topal, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.