Results 241 to 250 of about 5,252,215 (279)
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On Contraction of Functional Differential Equations
SIAM Journal on Control and Optimization, 2018In this paper, the authors present a novel approach to the contraction and the global ex- ponential stability of equilibria and periodic orbits of functional differential equations of the form \[ \frac{dx(t)}{dt}=f(t,x(t),x_t),\quad t\geq\sigma , \] where \(x\in\mathbb{R}^n\).
Pham Huu Anh Ngoc, Hieu Trinh
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On the functional differential equations with “maximums”
Applicable Analysis, 1983By means of a theorem on surjectivity of a continuous accretive everywhere defined operator the authors prove the existence and uniqueness of the global solution for the problem \(y'(t)=F(t,\max \{y(s): s\in [p(t),q(t)]\}\), max\(\{\) y'(s): \(s\in [u(t),v(t)]\})\), \(t>0\), \(y(t)=\psi (t)\), \(y'(t)=\psi '(t)\), \(t\leq 0\).
Angelov, V. G., Bajnov, D. D.
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Waveform Relaxation for Functional-Differential Equations
SIAM Journal on Scientific Computing, 1999The authors study the convergence of waveform relaxation techniques for solving functional-differential equations. They derive new error estimates and obtain sharp error bounds.
Barbara Zubik-Kowal, Stefan Vandewalle
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Mixed Functional Differential Equations
Journal of Mathematical Sciences, 2005Definition: A functional-differential equation (FDE) for a function with more than one continuous arguments is called a mixed FDE (MFDE) if it contains a derivative of the unknown function with respect to one of the arguments only. MFDEs form a special subclass of ordinary Banach-space-valued DE with locally bounded right-hand side.
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On a functional differential equation
Lobachevskii Journal of Mathematics, 2017© 2017, Pleiades Publishing, Ltd.Conditions for the existence and uniqueness of a solution to a problem for a functional differential equation are presented. A special case of this equation is a functional differential equation derived previously by the authors for the distribution density of the brightness of light in interstellar space in the case of
Evlampiev N., Sidorov A., Filippov I.
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Functional differential equations
Applicable Analysis, 1979Using a modification of the Tawumikhin method, the authors obtain asymptotic properties of solutions os delay differential equations. In particular using Liapunov functions we obtain sufficient conditions for solutions to approach a constant c as t→∞. Here and f has appropriate smoothness properties to guarantee extendability of solutions.
Stephen R. Bernfeldt +2 more
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Existence results for fractional order functional differential equations with infinite delay
Journal of Mathematical Analysis and Applications, 2008Johnny Henderson +2 more
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Monotone method for first-order functional differential equations
Computers and Mathematics With Applications, 2006Rosana Rodríguez-López, J J Nieto
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