Results 71 to 80 of about 691,926 (188)
An ordinary integro-differential equation with a degenerate kernel and an integral condition
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 We consider the questions of one value solvability of the nonlocal boundary value problem for a nonlinear ordinary integro-differential equation with a degenerate kernel and a reflective argument.
Tursun K Yuldashev
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A Partial Functional Differential Equation
Journal of Mathematical Analysis and Applications, 2001 The author of this interesting paper investigates the partial functional differential equation \[ \partial u(x,t)\partial t =k \partial^2 u(x,t)\partial x^2+ru(x,t-T)[1-u(x,t)], \;\;t\geq 0, \;\;x\in [{}0,\pi ]{} \] under the boundary condition \(u(0,t)=u(\pi ,t)=0\) (\(t>0\)) and \(u(x,s)=\phi (x,s)\), \(-T\leq s\leq 0\), \(0\leq x\leq \pi \).
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Analytic Solutions of an Iterative Functional Differential Equation near Resonance
International Journal of Differential Equations, 2009 We investigate the existence of analytic solutions of a class of second-order differential equations involving iterates of the unknown function 𝑥(𝑧)+𝑐𝑥(𝑧)=𝑥(𝑎𝑧+𝑏𝑥(𝑧)) in the complex field ℂ. By reducing the equation with the Schröder transformation to
Tongbo Liu, Hong Li
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Functional differential equations with infinite delay in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper, a definition of the fundamental operator for the linear autonomous functional differential equation with infinite delay in a Banach space is given, and some sufficient and necessary conditions of the fundamental operator being ...
Jin Liang, Tijun Xiao
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On Nonautonomous Functional Differential Equations
Journal of Mathematical Analysis and Applications, 1999 The author investigates the existence of an evolution family for the nonautonomous Cauchy problem \[ x'(t)= A(t) x(t),\quad 0\leq s\leq t\leq T,\quad x(s)= x, \] in a Banach space \(X\). Each \(A(t)\) is a linear operator on \(X\). The following result is obtained: Let \(X\), \(Y\), and \(D\) be Banach spaces, \(D\) densely and continuously imbedded in
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A Certain Functional–Differential Equation
Journal of Mathematical Analysis and Applications, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Application of Contractive-like Mapping Principles to Fuzzy Functional Differential Equation
ITM Web of Conferences, 2018 In this paper, we prove the existence and uniqueness of solution for the fuzzy functional differential equation under generalized Hukuhara derivative via contractive-like mapping principles.
Ho Vu
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Holomorphic solutions to linear first-order functional differential equations
Electronic Journal of Differential Equations, 2005 In this paper we study holomorphic solutions to linear first-order functional differential equations that have a nonlinear functional argument. We focus on the existence of local solutions at a fixed point of the functional argument and the holomorphic ...
Bruce van Brunt, Jonathan C. Marshall
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Semigroups on Frechet spaces and equations with infinite delays
, 2007 In this paper, we show existence and uniqueness of a solution to a functional differential equation with infinite delay. We choose an appropriate Frechet space so as to cover a large class of functions to be used as initial functions to obtain existence ...
Sengadir, T
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Legendre-Tau approximations for functional differential equations [PDF]
The numerical approximation of solutions to linear functional differential equations are considered using the so called Legendre tau method. The functional differential equation is first reformulated as a partial differential equation with a nonlocal ...
Ito, K., Teglas, R.
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