Results 301 to 310 of about 269,773 (341)

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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A HARTMAN-GROBMAN THEOREM FOR SOME PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS

International Journal of Bifurcation and Chaos, 2000
We show that the flow of some partial functional differential equations has a global attractor. As a conseqsuence we prove that the flow near a hyperbolic equilibrium is equivalent to its variational equation.
Rachid Benkhalti, Khalil Ezzinbi
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OSCILLATION OF A CLASS OF PARABOLIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia, 1993
The authors study oscillation phenomena for the partial functional differential equation \[ \delta/ \delta t \left[u- \sum^ m_{i=1} c_ i(t) u(s,t-r_ i)\right] = a(t) \Delta u - p(x,t)u - \int^ b_ a q(x,t, \zeta) u \bigl( x,g (t, \zeta) \bigr) d \sigma (\zeta), \] \((x,t) \in \Omega \times [0,\infty)\), where \(\Omega\) is a bounded domain in \(\mathbb ...
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Oscillation of partial functional differential equations.

MATHEMATICS JOURNAL OF TOYAMA UNIVERSITY, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
openaire   +1 more source

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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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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An algorithm for partial functional differential equations modeling tumor growth

Applied Mathematics and Computation, 2018
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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
openaire   +2 more sources