Results 1 to 10 of about 4,215,458 (307)
Comparison theorem for oscillation of fourth-order nonlinear retarded dynamic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2013 This work is concerned with oscillation of a class of fourth-order nonlinear delay dynamic equations on a time scale. A new comparison theorem is established that improves related results reported in the literature.
Chenghui Zhang +2 more
doaj +1 more source
A Note on Comparison Theorems [PDF]
Proceedings of the American Mathematical Society, 1977 Comparison theorems for solutions, for focal points and conjugate points of second order linear differential equations are given in this paper.
openaire +1 more source
On a comparison theorem for parabolic equations with nonlinear boundary conditions
Advances in Nonlinear Analysis, 2022 In this article, a new type of comparison theorem for some second-order nonlinear parabolic systems with nonlinear boundary conditions is given, which can cover classical linear boundary conditions, such as the homogeneous Dirichlet or Neumann boundary ...
Kita Kosuke, Ôtani Mitsuharu
doaj +1 more source
On Leighton's comparison theorem
Journal of Differential Equations, 2017 We give a simple proof of a fairly flexible comparison theorem for equations of the type $-(p(u'+su))'+rp(u'+su)+qu=0$ on a finite interval where $1/p$, $r$, $s$, and $q$ are real and integrable. Flexibility is provided by two functions which may be chosen freely (within limits) according to the situation at hand.
Ghatasheh, Ahmed, Weikard, Rudi
openaire +2 more sources
Synchronization in Fractional-Order Complex-Valued Delayed Neural Networks
Entropy, 2018 This paper discusses the synchronization of fractional order complex valued neural networks (FOCVNN) at the presence of time delay. Synchronization criterions are achieved through the employment of a linear feedback control and comparison theorem of ...
Weiwei Zhang +3 more
doaj +1 more source
A Comparison Theorem for Eigenfunctions [PDF]
Proceedings of the American Mathematical Society, 1973 A comparison theorem of Sturm's type is obtained for eigenfunctions of general linear elliptic partial differential operators of second order on bounded domains of n-dimensional Euclidean space. The proof is almost immediate from an earlier identity of the author. The theorem is shown to be stronger than some recent theorems of Kurt Kreith.
openaire +1 more source
Anticipated BSDEs Driven by Fractional Brownian Motion with a Time-Delayed Generator
Mathematics, 2023 This article describes a new form of an anticipated backward stochastic differential equation (BSDE) with a time-delayed generator driven by fractional Brownian motion, further known as fractional BSDE, with a Hurst parameter H∈(1/2,1).
Pei Zhang +2 more
doaj +1 more source
Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations [PDF]
Opuscula MathematicaThe aim of this paper is to present two comparison theorems. These results enable to describe the oscillation behavior of second order Euler type half-linear differential equations with perturbations in both terms using previously obtained oscillation ...
Petr Hasil +2 more
doaj +1 more source
New oscillation results to fourth order delay differential equations with damping
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper is concerned with the oscillation of the linear fourth order delay differential equation with damping \begin{equation*} \left(r_3(t)\left(r_2(t)\left(r_1(t)y'(t)\right)'\right)'\right)'+p(t)y'(t)+q(t)y(\tau(t))=0 \end{equation*} under the ...
Jozef Džurina +2 more
doaj +1 more source
Mean-Field and Anticipated BSDEs with Time-Delayed Generator
Mathematics, 2023 In this paper, we discuss a new type of mean-field anticipated backward stochastic differential equation with a time-delayed generator (MF-DABSDEs) which extends the results of the anticipated backward stochastic differential equation to the case of mean-
Pei Zhang +2 more
doaj +1 more source