Tytuł artykułu
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
A Picard type existence and uniqueness theorem is established for iterative differential equations of the form y'(x) - f(x,y(h(x) + g (y (x)))), a special case of which is y'(x) = f(x,y(y(x))). Such iterative differential equations can be used to model infective disease processes, pattern formation in the plane, and in investigations of dynamical systems.
Wydawca
Czasopismo
Rocznik
Tom
Strony
371--380
Opis fizyczny
Bibliogr. 8 poz.
Bibliografia
- [1] E. Eder, The functional differential equation x'(t)=x(x(t)), J. Differential Equations 54 (1984), 390–400.
- [2] S. S. Cheng, Smooth Solutions of Iterative Functional Differential Equations, 2004-Dynamical Systems and Application, eds. H. Akca, A. Boucherif and V. Covachev, GBS Publishers & Distributions, 2005.
- [3] W. R. Li, S. S. Cheng, T. T. Lu, Closed form solutions of iterative functional differential equations, Appl. Math. E-Notes 1 (2001), 1–4.
- [4] A. Pelczar, On some iterative differential equations I, Zeszyty Naukowe Uniwersytetu Jagiellonskiego, Prace Matematyczne, 12 (1968), 53–56.
- [5] R. D. Driver, A two-body problem of classical electrodynamics: the one-dimensional case, Ann. Physics 21 (1963), 122–142.
- [6] R. D. Driver, Can the future influence the present? Phys. Rev. D. 19 (4) (1979), 1098–1107.
- [7] K. L. Cooke, Functional differential systems: some models and perturbation problems, Inter. Symp. Diff. Eqs. Dynamical Systems, Puerto Rico, 1965.
- [8] W. X. Yang, W. G. Ge, Periodic solutions for the differential-iterative equation x'+g(x(x))=p(t) (in Chinese) J. Beijing Inst. Technol. (Chin. Ed.) 22 (5) (2002), no. 5, 537–539.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0024-0013