The method of quasilinearization for system of hyperbolic functional differential equations

• Autorzy: Karpowicz A.
• Języki publikacji: EN

Abstrakty

EN

We deal with monotone iterative method for the Darboux problem for the system of hyperbolic partial functional-differential equations. [zob. pełny tekst: http://www.staff.amu.edu.pl/~commath/papers/482/4825.pdf]

Słowa kluczowe

EN

monotone iterative technique; generalized quasilinearization; hyperbolic equations; Darboux problem; functional differential inequalities

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2008
• Tom: Vol. 48, [Z] 2
• Strony: 155--168
• Opis fizyczny: bibliogr. 14 poz.

Twórcy

autor

Karpowicz A.

• Institute of Mathematics, University of Gdańsk Wit Stwosz St. 57, 80-952 Gdańsk, Poland,

Bibliografia

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• [5] T. Człapiński, Hyperbolic functional differential equations, Wydawnictwo Uniwersytetu Gdańskiego, Gdańsk, 1999.
• [6] T. Jankowski, Functional differential equations, Czechoslovak Math. Jour. 52 (2000), 553-563.
• [7] A. Karpowicz, Monotone methods for hyperbolic functional differential equations, to appear.
• [8] A. Karpowicz, The Darboux problem for hyperbolic functional differential equations and inequalities in the sense of Carath´eodory, to appear.
• [9] A. Karpowicz, Carath´eodory Solutions of Hyperbolic Functional Differential Inequalities with First Order Derivatives, Ann. Pol. Math. 94 (2008), 53-78.
• [10] V. Lakshmikantham and A. S. Vatsala, Generalized Quasilinearization for Nonlinear Problem, Kluwer Academi Publishers, The Netherlands, 1998.
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• [13] R. N. Mohapatra, K. Vajravelu and Y. Yin, Extension of the method of quasilinearization and rapid convergence, J. of Optimization Theory and Appl. 96 (1998), 667-682.
• [14] S. G Pandit, Monotone methods for systems of nonlinear hyperbolic problems in two independet variables, Nonlinear Anal., Theory, Meth. & Appl. 5 (1997), 2735-2742.