Results 241 to 250 of about 331,915 (277)
Some of the next articles are maybe not open access.
Partial averaging of functional differential equations
Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 2003Develops 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
openaire +1 more source
Rotating Waves in Neutral Partial Functional Differential Equations
Journal of Dynamics and Differential Equations, 1999The local existence and global continuation of rotating waves for partial neutral functional differential equations \[ \frac{\partial }{\partial t}D(\alpha, u_t)=d\frac{\partial^2}{\partial x^2}D(\alpha,u_t)+f(\alpha,u_t)\tag{1} \] defined on the unit circle \(x\in S^1\) is investigated; where \(d>0\) is a given constant; \(D,\;f:\mathbb{R}\times X ...
Wu, J., Xia, H.
openaire +2 more sources
On the Partial Equiasymptotic Stability in Functional Differential Equations
Journal of Mathematical Analysis and Applications, 2002 A system of functional-differential equations with delay \(dz/dt=Z(t,z_t)\), where \(Z\) is a vector-valued functional, is considered. It is supposed that this system has a zero solution \(z=0\). Definitions of its partial stability, partial asymptotical stability and partial equiasymptotical stability are given.
exaly +3 more sources
Partial Hyperbolic Functional Differential Equations
2012In this chapter, we shall present existence results for some classes of IVP for partial hyperbolic differential equations with fractional order.
Saïd Abbas +2 more
openaire +1 more source
First Order Partial Functional Differential Equations with Unbounded Delay
gmj, 2003Abstract 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.
openaire +2 more sources
Impulsive Partial Hyperbolic Functional Differential Equations
2012In 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 +2 more
openaire +1 more source
On state-dependent delay partial neutral functional–differential equations
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hernandez M., Eduardo, McKibben, Mark A.
openaire +2 more sources
New Results for Some Neutral Partial Functional Differential Equations
Results in Mathematics, 2019The 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 +2 more
openaire +2 more sources
Comparison method of partial functional differential equations and its application
Applied Mathematics and Computation, 2002Here, the initial value problem \[ \frac{du}{dt} = Au + f(t,u_t), \quad t \geq 0, \qquad u = \varphi (t), \quad t \in [-r,0], \] is considered on the real Banach space \(X\), where \(u_t = u(t + \theta)\), \(-r \leq \theta \leq 0\), and \(A\) is a linear operator on \(X\).
He, Mengxing, Ou, Zhuoling, Liu, Anping
openaire +2 more sources
A HARTMAN-GROBMAN THEOREM FOR SOME PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS
International Journal of Bifurcation and Chaos, 2000We 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.
Benkhalti, R., Ezzinbi, K.
openaire +1 more source