On a non-local parabolic problem

• Autorzy: Akila Y.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to investigate the existence of solutions of a nonlocal parabolic problem. The method of upper and lower solutions and the classical maximum principle are used to obtain our results.

Słowa kluczowe

EN

parabolic problem; maximum principle

PL

zagadnienie brzegowe; dwoistość

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 4
• Strony: 745--755
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Akila Y.

• The Abdus Salam Center for Theoretical Physics Strada Costiera 11 34014 Trieste, Italy,

Bibliografia

• [1] H. Amann, Ordinary Differential Equations and Introduction to Nonlinear Analysis, de Gruyler Studies in Mathematics; 13, Berlin, 1990.
• [2] L. Byszewski, Strong maximum and minimum principles for parabolic problems with nonlocal inequalities, Zeit. Angew. Math. Mech. 70 (1990), 202-205.
• [3] J. Charbrowski, On nonlocal problem for parabolic equation, Nagoya. Math. J. 93, (1984), 109-131.
• [4] K. Deng, Comparison principle for some nonlocal problems, Quart. Math. 50, (1992), 517-522.
• [5] A. Friedman, Partial differential equations of parabolic type, Prentice-Hall, Inc Englewood, Cliffs, N.J, 1964.
• [6] A. Friedman, Monotonic delay of solutions of parabolic equations with nonlocal boundary conditions, Quart. Appl. Math. 44 (1986), 401-407.
• [7] C. V. Pao, Nonlinear Parabolic and Elliptic Equations, New York, NY, Plenum, 1992.
• [8] C. V. Pao, Coupled nonlinear parabolic systems with time delays, J. Math. Anal. Appl. 196 (1995), 237-295.
• [9] C. V. Pao, Systems of parabolic equations with continuous and discrete delays, J. Math. Anal. Appl, 205 (1997), 157-185.
• [10] Yunfeng Yin, On nonlinear parabolic equations with nonlocal boundary conditions, J. Math. Anal. Appl, 185 (1994), 161-174.
• [11] A. W. Leung, Systems of Nonlinear Partial Differential Equations, Application to Biology and Engineering, Kluwer Academic Publishers, 1989.
• [12] Ladyzhenskaya, V. Solanikev, N. Uraltseva, Linear and quasilinear equations of parabolic type, Amer. Math. Soc. 1968.