Asymptotic behavior of solutions of nonlinear difference equations
نویسندگان
چکیده
منابع مشابه
Asymptotic Behavior of Solutions of Nonlinear Difference Equations
The nonlinear difference equation (E) xn+1 − xn = anφn(xσ(n)) + bn, where (an), (bn) are real sequences, φn : −→ , (σ(n)) is a sequence of integers and lim n−→∞ σ(n) =∞, is investigated. Sufficient conditions for the existence of solutions of this equation asymptotically equivalent to the solutions of the equation yn+1 − yn = bn are given. Sufficient conditions under which for every real consta...
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متن کاملAsymptotic Behavior of the Solutions of Nonlinear Differential Equations
3. J. S. MacNerney, Stieltjes integrals in linear spaces, Ann. of Math. (2) 61 (1955), 354-367. 4. -, Continuous products in linear spaces, J. Elisha Mitchell Sei. Soc. 71 (1955), 185-200. 5. ■-, Determinants of harmonic matrices, Proc. Amer. Math. Soc. 7 (1956), 1044-1046. 6. F. W. Stallard, Differential systems with interface conditions, Oak Ridge National Laboratory Publication no. 1876 (Phy...
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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 2004
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.2004.134043