Results 161 to 170 of about 367,267 (190)
Some of the next articles are maybe not open access.
Oscillatory Phenomena in Neutral Delay Differential Equations
Acta Mathematica Hungarica, 1997Consider the general odd-order delay differential equation of the type \[ x^{(n)}(t)+\sum^m_{i=1} q_ix(t-\sigma_i)=0. \tag{*} \] The authors show that if \(n\) is odd and \[ \frac 1n \left(\sum^m_{i=1}\sigma^n_i q_i\right)^{1/n}>\frac 1e \] then every solution to (*) oscillates.
Das, P., Mishra, B. B.
openaire +2 more sources
On Some Conjectures on Neutral Differential Equations
Canadian Mathematical Bulletin, 1991AbstractIn [2], Ladas and Sficas made two conjectures about the asymptotic behavior of solutions of some neutral differential equations. In this paper we confirm that these conjectures are indeed correct.
openaire +1 more source
PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Journal of the London Mathematical Society, 2002The paper concerns the existence, uniqueness and global attractivity of periodic solutions to neutral functional-differential equations with monotone semiflows. The proofs are based on the theory established by Wu and Freedman for monotone semiflow generated by neutral functional-differential equations and Krasnosel'skii's fixed-point theorem.
Wang, Lianglong +2 more
openaire +1 more source
POSITIVE SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Acta Mathematica Scientia, 1996The paper contains sufficient conditions under which the neutral functional differential equation \[ {d\over dx} \left[ x(t)+ \int^t_c x(s)+ d_s \mu(t,s) \right] +\int^t_c f\bigl( t,x(s) \bigr) d_s n(t,s) =0,\;t>t_0\leq c \tag{1} \] has a positive solution on \([c,+\infty)\). The following examples are based on his two theorems. The equation \[ {d\over
Huang, Zhenxun, Gao, Guozhu
openaire +2 more sources
Forced Oscillations in Nonlinear Neutral Differential Equations
SIAM Journal on Applied Mathematics, 1975It is known that if a periodic neutral differential equation of certain type (which includes equations like $( {d / dt} )[ {x( t ) - q \times ( {t - r} )} ] = f( {x( t ),x( {t - r} ) + p( t ),| q | < 1,p( t )} )$ periodic) is uniform ultimately bounded, then there is a periodic solution.
openaire +2 more sources
Total Stability for Neutral Functional Differential Equations
Proceedings of the American Mathematical Society, 1981The basic idea of this work is to use Lyapunov functionals to show that for neutral functional differential equations, uniform asymptotic stability implies total stability.
Ize, A. F., Freiria, A. A.
openaire +2 more sources
Oscillations of Second Order Neutral Differential Equations
Canadian Mathematical Bulletin, 1993AbstractIn this paper, we consider the oscillatory behavior of the second order neutral delay differential equationwheret ≥ t0,Tandσare positive constants,a,p, q € C(t0, ∞), R),f ∊ C[R, R]. Some sufficient conditions are established such that the above equation is oscillatory.
openaire +1 more source
Redox-neutral electrochemical conversion of CO2 to dimethyl carbonate
Nature Energy, 2021Mani Balamurugan, Ki Tae Nam
exaly
SARS-CoV-2 variants, spike mutations and immune escape
Nature Reviews Microbiology, 2021William T Harvey +2 more
exaly