Results 251 to 260 of about 331,915 (277)

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.
Benkhalti, Rachid, Elazzouzi, Abdelhai, Ezzinbi, Khalil   +2 more
openaire   +2 more sources

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 ...
openaire   +2 more sources

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 .
openaire   +1 more source

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.
openaire   +1 more source

Normal form formulations of double-Hopf bifurcation for partial functional differential equations with nonlocal effect

Journal of Differential Equations, 2022
Hongbin Wang
exaly  

Implicit Partial Hyperbolic Functional Differential Equations

2012
Saïd Abbas, Mouffak Benchohra, Gaston M. N’Guérékata   +2 more
openaire   +1 more source

Decay estimates for partial functional differential equations

Nonlinear Analysis: Theory, Methods & Applications, 1982
openaire   +2 more sources

Exponential stability for stochastic neutral partial functional differential equations

Journal of Mathematical Analysis and Applications, 2009
Jiaowan Luo
exaly  

Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations

Journal of Differential Equations, 2020
Weihua Jiang, Junping Shi
exaly  

Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional–differential equations and applications

Journal of Mathematical Analysis and Applications, 2007
Toka Diagana, Eduardo Hernandez
exaly