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Nonlinear Partial Functional Differential Equations: Existence and Stability [PDF]

Journal of Mathematical Analysis and Applications, 2001
Existence and uniqueness of solutions for a class of nonlinear functional differential equations in Hilbert spaces are established. Sufficient conditions which guarantee the transference of exponential stability from partial differential equations to ...
Tomáš Caraballo
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Multilinear Square Functions and Partial Differential Equations

American Journal of Mathematics, 1985
The purpose of this paper is to give detailed proofs of the results announced by the authors [Proc. Natl. Acad. Sci. USA 79, 5746-5750 (1982; Zbl 0501.35014)]. The first section deals with the basic multilinear estimates of Littlewood-Paley type that are needed for our applications. Roughly speaking, if the operator is k-linear, its norm is shown to be
Fabes, Eugene B., Jerison, David S., Kenig, Carlos E.   +2 more
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On Certain Functional and Partial Differential Equations, II

Complex Analysis and Operator Theory, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stability of Partial Functional Integro-Differential Equations

Journal of Dynamical and Control Systems, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agarwal, R. P., Domoshnitsky, A., Goltser, Ya.   +2 more
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On Certain Functional and Partial Differential Equations

Forum Mathematicum, 2005
Summary: We describe entire solutions for certain functional and partial differential equations related to the Fermat varieties in \(\mathbb C^2\).
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Partial averaging of functional differential equations

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 2003
Develops a framework for averaging functional differential equations (FDEs) with two time scales. Averaging is performed on the fast time system, while slow time is 'frozen.' This creates an averaged equation which is slowly time-varying, hence the terminology of partial averaging.
B. Lehman, S.P. Weibel
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Hypergeometric Functions and Parabolic Partial Differential Equations

Journal of Dynamical and Control Systems, 2005
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Oscillation of partial functional differential equations.

MATHEMATICS JOURNAL OF TOYAMA UNIVERSITY, 1997
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Partial Hyperbolic Functional Differential Equations

2012
In this chapter, we shall present existence results for some classes of IVP for partial hyperbolic differential equations with fractional order.
Saïd Abbas, Mouffak Benchohra, Gaston M. N’Guérékata   +2 more
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Functional Analysis and Partial Differential Equations

2000
Workshop ...
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