Czasopismo
2007
|
Vol. 40, nr 1
|
151-160
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
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Abstrakty
We consider the initial value problem for second order differential–func- tional equation. Functional dependence on an unknown function is of the Hale type. We prove the existence theorem for unbounded classical solution. Our formulation admits a large group of nonlocal problems. We put particular stress on “retarded and deviated” argument as it seems to be the most difficult.
Czasopismo
Rocznik
Tom
Strony
151-160
Opis fizyczny
Bibliogr. 5 poz.
Twórcy
autor
- Institute of Mathematics University of Gdańsk Wit Stwosz 57 80-952 Gdańsk, Poland, matkt@math.univ.gda.pl
Bibliografia
- [1] J. K. Hale, S. M. V. Lunel, Introduction to Functional Differential Equations, Springer-Verlag New York 1993.
- [2] 0. A. Ladyzhenskaya, V. A. Solonikov, N. N. Uralceva, Linear and Quasilinear Equation of Parabolic Type, Nauka, Moskva, 1967 [Russian]. (Translation of Mathematical Monographs, Vol. 23, Am.Math.Soc., Providence, R.I., 1968.)
- [3] H. Leszczyński, On a nonlinear heat equation with functional dependence, Appl. Anal. 74 (2000), 233-251.
- [4] K. A. Topolski, Parabolic differential-functional inequalities in a viscosity sense, Ann. Polon. Math. 68 (1998), 17-25.
- [5] K. A. Topolski, On the classical solutions for parabolic differential-functional Cauchy problem, Comment. Math. 44, no 2 (2004), 217-226.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0033-0015