Results 71 to 80 of about 516,723 (184)

Multiple solutions of nonlinear partial functional differential equations and systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
We shall consider weak solutions of initial-boundary value problems for semilinear and nonlinear parabolic differential equations with certain nonlocal terms, further, systems of elliptic functional differential equations.
László Simon
doaj   +1 more source

Stability theory for functional-differential equations [PDF]

open access: yesTransactions of the American Mathematical Society, 1979
We consider a system of functional differential equations x ′ ( t ) = F ( t , x ( ⋅ ) ) x’\,(t)\, = \,\mathcal {F}\,(t,\,x( \cdot )) , together with a Liapunov functional
openaire   +2 more sources

Mixed-Type Functional Differential Equations: A $C_{0}$-Semigroup Approach

open access: yesCommunications in Advanced Mathematical Sciences, 2018
In this paper we study certain systems of mixed-type functional differential equations, from the point of view of the $C_{0}$-semigroup theory. In general, this type of equations are not well-posed as initial value problems.
Luis Gerardo Mármol   +1 more
doaj   +1 more source

Distributional and entire solutions of ordinary differential and functional differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
A brief survey of recent results on distributional and entire solutions of ordinary differential equations (ODE) and functional differential equations (FDE) is given. Emphasis is made on linear equations with polynomial coefficients.
S. M. Shah, Joseph Wiener
doaj   +1 more source

On solvability of periodic boundary value problems for second order linear functional differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
The periodic boundary value problem for second order linear functional differential equations with pointwise restrictions (instead of integral ones) is considered. Sharp sufficient conditions for the solvability are obtained.
Eugene Bravyi
doaj   +1 more source

Nonlinear delay-differential equations with small lag

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
Asymptotic formulae for the solutions of nonlinear functional differential system are obtained.
Manuel Pinto
doaj   +1 more source

Lyapunov Theorems for Systems Described by Retarded Functional Differential Equations

open access: yes, 2005
Lyapunov-like characterizations for non-uniform in time and uniform robust global asymptotic stability of uncertain systems described by retarded functional differential equations are ...
Karafyllis, Iasson
core  

Differential functional von Foerster equations with renewal

open access: yesCondensed Matter Physics, 2008
Natural iterative methods converge to the exact solution of a differential-functional von Foerster-type equation which describes a single population dependent on its past time and state densities as well as on its total size.
H.Leszczyński
doaj   +1 more source

Newton's method for stochastic functional differential equations

open access: yesElectronic Journal of Differential Equations, 2012
In this article, we apply Newton's method to stochastic functional differential equations. The first part concerns a first-order convergence. We formulate a Gronwall-type inequality which plays an important role in the proof of the convergence theorem
Monika Wrzosek
doaj  

Analytic solutions for iterative functional differential equations

open access: yesElectronic Journal of Differential Equations, 2012
Because of its technical difficulties the existence of analytic solutions to the iterative differential equation $x'(z)=x(az+bx(z)+c x'(z))$ is a source of open problems.
Pingping Zhang
doaj  

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