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Asymptotic behavior of solutions of the functional differential equation \(x'(t)=ax(t)+bx(t^\alpha), a>1\). (English) Zbl 0289.34115

MSC:
34K25 Asymptotic theory of functional-differential equations
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[1] Bellman, R; Cooke, K, Differential-difference equations, (1963), Academic Press New York
[2] DeBruijn, N.G, The asymptotically periodic behavior of the solutions of some linear functional equations, Amer. J. math., 71, 313-330, (1949) · Zbl 0033.27002
[3] Frederickson, P.O, Global solutions to certain nonlinear functional-differential equations, J. math. anal. appl., 33, 355-358, (1971) · Zbl 0191.15302
[4] Frederickson, P.O, ()
[5] Kato, T; McLeod, J.B, The functional-differential equation y′(x) = ay(λx) + by(x), Bull. amer. math. soc., 77, 891-937, (1971) · Zbl 0236.34064
[6] Sugiyama, S, On some problems of functional-differential equations with advanced argument, (), 367-382
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