Results 31 to 40 of about 30,034 (265)

Note on some oscillation criteria [PDF]

Proceedings of the American Mathematical Society, 1955
then (1) must be oscillatory. Various refinements as well as variations of the criterion (3) were obtained by Hartman in [1]. The present note will be devoted to the derivation of two further criteria, given in (*) and (**) below, involving the function G(t) of (3).
openaire   +2 more sources

Natural Frequencies of Levodopa‐Induced Dyskinesia in Parkinson's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Abnormal involuntary movements, known as dyskinesias, are common complications of levodopa treatment in patients with Parkinson's disease and can significantly impair quality of life. The underlying pathophysiology remains unclear, and current therapeutic options are limited.
Ioannis U. Isaias, Federica Avantaggiato, Gianni Pezzoli, Andrea Canessa   +3 more
wiley   +1 more source

Oscillation criteria for certain nonlinear fourth order equations

International Journal of Mathematics and Mathematical Sciences, 1983
This work investigates the behavior of solutions of certain nonlinear fourth order differential equations. An example is given showing that these equations can have both oscillatory and nonoscillatory solutions simultaneously.
W. E. Taylor
doaj   +1 more source

Claustrum Involvement in New Onset Refractory Status Epilepticus: A Systematic Review

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT The claustrum sign is a distinctive neuroimaging finding characterized by bilateral T2/FLAIR hyperintensity of the claustrum, one of the most interconnected regions of the human brain. It was first described in new‐onset refractory status epilepticus (NORSE) and febrile infection–related epilepsy syndrome (FIRES).
Margherita Burani, Lorenzo Muccioli, Giada Giovannini, Niccolò Orlandi, Francesca Bisulli, Stefano Meletti   +5 more
wiley   +1 more source

Oscillation criteria for functional differential equations

Electronic Journal of Differential Equations, 2005
Consider the first-order linear delay differential equation $$ x'(t)+p(t)x(au (t))=0,quad tgeq t_{0}, $$ and the second-order linear delay equation $$ x''(t)+p(t)x(au (t))=0,quad tgeq t_{0}, $$ where $p$ and $au $ are continuous functions on $[t_{0 ...
Ioannis P. Stavroulakis
doaj  

Oscillation Criteria for Second-Order Superlinear Neutral Differential Equations

Abstract and Applied Analysis, 2011
Some oscillation criteria are established for the second-order superlinear neutral differential equations (r(t)|z'(t)|α-1z'(t))'+f(t,x(σ(t)))=0, t≥t0, where z(t)=x(t)+p(t)x(τ(t)), τ(t)≥t, σ(t)≥t, p∈C([t0,∞),[0,p0]), and α≥1.
Tongxing Li, Zhenlai Han, Chenghui Zhang, Hua Li   +3 more
doaj   +1 more source

Oscillation Criteria for a Class of Functional Parabolic Equations [PDF]

Journal of Applied Analysis, 1999
The authors obtain sufficient conditions for oscillation of solutions of functional parabolic equations \[ \begin{multlined} {\partial\over\partial t}\Biggl(U(x, t)+ \sum^l_{i= 1} h_i(t)U(x,\rho_i(t))\Biggr)- a(t)\Delta U(x,t)- \sum^k_{i=1} b_i(t)\Delta U(x, \tau_i(t))-\\ c(x,t,(z_i[U](x,t))^M_{i= 1})= f(x,t),\quad (x,t)\in G\times (0,\infty),\end ...
Kusano, T., Yoshida, N.
openaire   +1 more source

Is an Apple an Orange? A Large Language Model Benchmark for Candidate Term Extraction and Subclass Decisions Against Upper Ontologies in Engineering and Materials Science

Advanced Engineering Materials, EarlyView.
Building machine‐readable vocabularies for materials science is slow, expert‐driven work. This study benchmarks 13 large language models on two of its first steps: finding candidate terms in engineering articles and deciding where they belong in a class hierarchy.
Thomas Bjarsch, Maximilian Holland, Klaus Drechsler, Johannes Schilp   +3 more
wiley   +1 more source

Oscillation criteria for a class of nonlinear partial differential equations

Electronic Journal of Differential Equations, 2002
This paper presents sufficient conditions on the function $c(x)$ to ensure that every solution of partial differential equation $$ sum_{i=1}^{n}{partial over partial x_i} Phi_{p}({partial u over partial x_i})+B(x,u)=0, quad Phi_p(u):=|u|^{p-1}mathop{ m ...
Robert Marik
doaj  

Oscillation Criteria for Nonlinear Third-Order Delay Dynamic Equations on Time Scales Involving a Super-Linear Neutral Term

Fractal and Fractional
In the sense of an arbitrary time scale, some new sufficient conditions on oscillation are presented in this paper for a class of nonlinear third-order delay dynamic equations involving a local fractional derivative with a super-linear neutral term.
Qinghua Feng, Bin Zheng
doaj   +1 more source