Results 51 to 60 of about 691,926 (188)

Oscillation Criteria for Second-Order Delay, Difference, and Functional Equations

International Journal of Differential Equations, 2010
Consider the second-order linear delay differential equation x′′(t)+p(t)x(τ(t))=0, t≥t0, where p∈C([t0,∞),ℝ+), τ∈C([t0,∞),ℝ), τ(t) is nondecreasing, τ(t)≤t for t≥t0 and limt→∞τ(t)=∞, the (discrete analogue) second-order difference equation Δ2x(n)+p(n)x(τ(
L. K. Kikina, I. P. Stavroulakis
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Subexponential Growth Rates in Functional Differential Equations [PDF]

, 2014
This paper determines the rate of growth to infinity of a scalar autonomous nonlinear functional differential equation with finite delay, where the right hand side is a positive continuous linear functional of $f(x)$. We assume $f$ grows sublinearly, and
D. Patterson, Denis, John A. D. Appleby
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A solution to a fractional order semilinear equation using variational method

Mathematics in Applied Sciences and Engineering, 2020
We will discuss how we obtain a solution to a semilinear pseudo-differential equation involving fractional power of laplacian by using a method analogous to the direct method of calculus of variations.
Ramesh Karki, Young Hwan You
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Gradient Bounds for Solutions of Stochastic Differential Equations Driven by Fractional Brownian Motions [PDF]

, 2011
We study some functional inequalities satisfied by the distribution of the solution of a stochastic differential equation driven by fractional Brownian motions.
Cheng Ouyang, David Nualart, Fabrice Baudoin, To Pr   +3 more
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The existence and Hyers–Ulam stability of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order 1<β<2 $1<\beta<2$

Boundary Value Problems, 2019
This paper deals with the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order ...
Yuchen Guo, Xiao-Bao Shu, Yongjin Li, Fei Xu   +3 more
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Behavior near a periodic orbit of functional differential equations [PDF]

Behavior near periodic orbit of functional differential ...
Hale, J. K.
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Extreme Analysis of a Non-convex and Nonlinear Functional of Gaussian Processes -- On the Tail Asymptotics of Random Ordinary Differential Equations [PDF]

, 2013
In this paper, we consider a stochastic system described by a differential equation admitting a spatially varying random coefficient. The differential equation has been employed to model various static physics systems such as elastic deformation, water
Liu, Jingchen, Zhou, Xiang
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On solutions of a certain nonlinear differential-difference functional equation [PDF]

Mathematica Bohemica
We investigate all the possible finite order entire solutions of the Fermat-type differential-difference functional equation $(Af(z))^2+R^2(z)(Bf^{(m)}(z+c)+Cf^{(n)}(z))^2=Q(z)$, where $m,n\in\mathbb{N}$, $A,B,C\in\mathbb{C}\setminus\{0\}$ and $R(z)$, $Q(
Rajib Mandal, Raju Biswas
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Representations for solutions of linear functional differential equations [PDF]

Representations for solutions of linear functional differential ...
Banks, H. T.
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Analytic solutions of a first order functional differential equation with a state derivative dependent delay

Electronic Journal of Differential Equations, 2009
This article concerns the first-order functional differential equation $$ x'(z)=x(p(z)+bx'(z)) $$ with the distinctive feature that the argument of the unknown function depends on the state derivative.
Pingping Zhang
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