Asymptotic behavior of solutions of nonlinear functional differential equations
نویسندگان
چکیده
منابع مشابه
Asymptotic Behavior of Solutions of Nonlinear Functional Differential Equations
Using the properties of almost nonexpansive curves introduced by B. Djafari Rouhani, we study the asymptotic behavior of solutions of nonlinear functional differential equation du(t)/dt + Au(t)+ G(u)(t) f(t), where A is a maximal monotone operator in a nilbert space H,f E LI(0,:H) and G:C([O,c):D(A))LI(O,c:H)is a given mapping.
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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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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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A(t) is an hX« matrix with complex-valued elements which are measurable and bounded for ¿^0, and p is an «-vector with measurable, complex-valued elements. The norm of a vector (matrix) will be denoted by || -|| and is defined as the sum of the magnitudes of the elements. A vector (matrix) will be called bounded if its norm is bounded on i^O and convergent if its elements tend to finite limits ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1994
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171294001006