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On differential equations and functional equations

Bank, Steven B., Kaufman, Robert P.
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On a functional differential equation

Lobachevskii Journal of Mathematics, 2017
© 2017, Pleiades Publishing, Ltd.Conditions for the existence and uniqueness of a solution to a problem for a functional differential equation are presented. A special case of this equation is a functional differential equation derived previously by the authors for the distribution density of the brightness of light in interstellar space in the case of
Evlampiev N., Sidorov A., Filippov I.
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Functional-differential equations [PDF]

Functional class of differential-difference, retard differential, and difference ...
Azbelev, N. V., Rakhmatullina, L. F.
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Functional differential equations

Czechoslovak Mathematical Journal, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the functional differential equations with “maximums”

Applicable Analysis, 1983
By means of a theorem on surjectivity of a continuous accretive everywhere defined operator the authors prove the existence and uniqueness of the global solution for the problem \(y'(t)=F(t,\max \{y(s): s\in [p(t),q(t)]\}\), max\(\{\) y'(s): \(s\in [u(t),v(t)]\})\), \(t>0\), \(y(t)=\psi (t)\), \(y'(t)=\psi '(t)\), \(t\leq 0\).
Drumi Bainov, Vasil G. Angelov
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Functional differential equations

Applicable Analysis, 1979
Using a modification of the Tawumikhin method, the authors obtain asymptotic properties of solutions os delay differential equations. In particular using Liapunov functions we obtain sufficient conditions for solutions to approach a constant c as t→∞. Here and f has appropriate smoothness properties to guarantee extendability of solutions.
John R. Haddock, Stephen R. Bernfeldt, V. Lakshmikantham   +2 more
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Functional differential equations

Complex Variables, Theory and Application: An International Journal, 2001
It is shown that if an entire function f along with a finite number of its derivatives satisfies a seemingly very weak type of functional equation, then fsatisfies an algebraic differential equation. The proof involves linear algebra and Nevanlinna theory.
Fred Gross, Charles F. Osgood
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Mixed Functional Differential Equations

Journal of Mathematical Sciences, 2005
Definition: A functional-differential equation (FDE) for a function with more than one continuous arguments is called a mixed FDE (MFDE) if it contains a derivative of the unknown function with respect to one of the arguments only. MFDEs form a special subclass of ordinary Banach-space-valued DE with locally bounded right-hand side.
G. A. Kamenskii, A. D. Myshkis
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