Results 191 to 200 of about 6,352,898 (223)

First Order Partial Functional Differential Equations with Unbounded Delay

gmj, 2003
Abstract The phase space for nonlinear hyperbolic functional differential equations with unbounded delay is constructed. The set of axioms for generalized solutions of initial problems is presented. A theorem on the existence and continuous dependence upon initial data is given. The Cauchy problem is transformed into a system of integral
Kamont, Z., Kozieł, S.
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Impulsive Partial Hyperbolic Functional Differential Equations

2012
In this chapter, we shall present existence results for some classes of initial value problems for fractional order partial hyperbolic differential equations with impulses at fixed or variable times impulses.
Saïd Abbas, Mouffak Benchohra, Gaston M. N’Guérékata   +2 more
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New Results for Some Neutral Partial Functional Differential Equations

Results in Mathematics, 2019
The paper deals with the existence and uniqueness of doubly measures pseudo almost automorphic and pseudo almost periodic solutions for the following neutral equations in Hilbert space: \[\begin{array}{lll} \displaystyle \frac{d}{dt}\left[u(t)-G(t,u(k_1(t)))\right]&=&A\left[u(t)-G(t,u(k_1(t)))\right]+Bu(t)\\ &+& F-G(t,u(k_2(t))),\quad t\in \mathbb{R}, \
Ben-Salah, Mounir, Miraoui, Mohsen, Rebey, Amor   +2 more
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Dynamics of Solutions and Approximation for Partial Functional Differential Equations with Delay

Mediterranean Journal of Mathematics, 2016
The main aims of the paper are to present some results on the existence and uniqueness of almost periodic solutions of (very general) partial functional differential equations with delay. The basic assumptions are Hille-Yosida condition and almost periodicity for the delayed parts of the equation under consideration.
Elazzouzi, Abdelhai, Ezzinbi, Khalil
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Numerical approximation of characteristic values of partial retarded functional differential equations

Numerische Mathematik, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BREDA, Dimitri, Maset, S., VERMIGLIO, Rossana   +2 more
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PERIODIC SOLUTIONS FOR SOME NONLINEAR PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

International Journal of Bifurcation and Chaos, 2010
In this work, we study the existence of periodic solutions for some nonlinear partial functional differential equation of neutral type. We assume that the linear part is nondensely defined and satisfies the Hille–Yosida condition. The delayed part is assumed to be ω-periodic with respect to the first argument.
Rachid Benkhalti, Abdelhai Elazzouzi, Khalil Ezzinbi   +2 more
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An algorithm for partial functional differential equations modeling tumor growth

Applied Mathematics and Computation, 2018
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Numerical solution of retarded functional differential equations as partial differential equations

IFAC Proceedings Volumes, 2000
Abstract The initial value problem for Delay Differential Equations (DDEs) (1) y 1 ( t ) = f ( t , y ( t ) , y ( t − τ 1 ) , … , y ( t − τ n ) ) , t ≥ t 0 , y ( t ) = φ ( t ) , t ≤ t 0 .
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Stable and unstable manifolds for partial functional differential equations

Nonlinear Analysis: Theory, Methods & Applications, 1991
Untersucht werden Systeme der Form \(\partial u(t,x)/\partial t=d\Delta u(t,x)+f(t,u_ t(,x))\), \(t>0\), \(x\in \Omega \subset {\mathbb{R}}^ n\), mit Anfangsbedingungen für \(u_ x(t,x)\in {\mathbb{R}}^ m\). Mittels einer Halbgruppe T(t) des Systems ohne f-Term wird das Problem als eine Integralgleichung behandelt.
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Normal forms of a class of partial functional differential equations

Journal of Differential Equations
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Yanhui Fan, Chuncheng Wang
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