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Volumn 271, Issue 1, 2002, Pages 182-205

Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions

Author keywords

Generalized quasilinearization; Nonlinear and nonlocal boundary conditions; Quadratic convergence; Reaction diffusion equation; Upper and lower solutions

Indexed keywords


EID: 0036659861     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00114-2     Document Type: Article
Times cited : (35)

References (10)
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    • Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions
    • S. Carl, S. Heikkilä, Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions, Math. Comput. Modelling 32 (2000) 1333-1344.
    • (2000) Math. Comput. Modelling , vol.32 , pp. 1333-1344
    • Carl, S.1    Heikkilä, S.2
  • 4
    • 0035534030 scopus 로고    scopus 로고
    • Generalized quasilinearization for quasilinear parabolic equations with nonlinearities of d.c. type
    • S. Carl, V. Lakshmikantham, Generalized quasilinearization for quasilinear parabolic equations with nonlinearities of d.c. type, J. Optim. Theory Appl. 109 (2001) 27-50.
    • (2001) J. Optim. Theory Appl , vol.109 , pp. 27-50
    • Carl, S.1    Lakshmikantham, V.2
  • 5
    • 0000355020 scopus 로고
    • Extensions of a property of heat equation to linear thermoelasticity and other theories
    • W.A. Day, Extensions of a property of heat equation to linear thermoelasticity and other theories, Quart. Appl. Math. 40 (1982) 319-330.
    • (1982) Quart. Appl. Math , vol.40 , pp. 319-330
    • Day, W.A.1
  • 7
    • 0029135981 scopus 로고
    • Dynamics of reaction diffusion equations with nonlocal boundary conditions
    • C.V. Pao, Dynamics of reaction diffusion equations with nonlocal boundary conditions, Quart. Appl. Math. 53 (1995) 173-186.
    • (1995) Quart. Appl. Math , vol.53 , pp. 173-186
    • Pao, C.V.1
  • 8
    • 0032003663 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions
    • C.V. Pao, Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions, J. Comput. Appl. Math. 88 (1998) 225-238.
    • (1998) J. Comput. Appl. Math , vol.88 , pp. 225-238
    • Pao, C.V.1
  • 9
    • 0003430387 scopus 로고    scopus 로고
    • Monotone Operators in Banach Space and Nonlinear Partial Differential Equations
    • American Mathematical Society, Providence, RI
    • R.E. Showalter, Monotone Operators in Banach Space and Nonlinear Partial Differential Equations, American Mathematical Society, Providence, RI, 1997.
    • (1997)
    • Showalter, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.