×

zbMATH — the first resource for mathematics

A change of variables for functional differential equations. (English) Zbl 0318.34069

MSC:
34K05 General theory of functional-differential equations
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
34K25 Asymptotic theory of functional-differential equations
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Anderson, C.H., Asymptotic oscillation results for solutions to first-order nonlinear differential-difference equations of advanced type, J. math. anal. appl., 24, 430-439, (1968) · Zbl 0191.10703
[2] Bellman, R.; Cooke, K., Differential-difference equations, (1963), Academic Press New York
[3] Doss, S.; Nasr, S.K., On the functional equation \(dydx = ƒ(x, y(x), y(x + h)), h > 0\), Amer. J. math., 75, 713-716, (1953) · Zbl 0053.06101
[4] Driver, R., Existence and continuous dependence of solutions of a neutral functional-differential equation, Arch. rational mech. anal., 19, 149-166, (1965) · Zbl 0148.05703
[5] Hale, J., Functional differential equations, (1971), Springer-Verlag · Zbl 0222.34003
[6] Hale, J.; Cruz, M.A., Existence, uniqueness and continuous dependence of a neutral functional differential equation, Ann. mat. pura appl., 85, 63-82, (1970)
[7] Heard, M.L., Asymptotic behavior of solutions of the functional difference equation x′(t) = ax(t) + bx(tα), α > 1, J. math. anal. appl., 44, 745-757, (1973) · Zbl 0289.34115
[8] Kato, T.; McLeod, J., The functional-differential equation y′(x) = ay(λ) + by(x), Bull. amer. math. soc., 77, 891-937, (1971) · Zbl 0236.34064
[9] Kuczma, M., Functional equations in a single variable, (1968), Polish Scientific Publishers Warsaw · Zbl 0196.16403
[10] Schröder, E., Über iterierte funktionen, Math. ann., 3, 296-322, (1871)
[11] Sugiyama, S., On some problems of functional differential equations with advanced argument, (), 367-382
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.