Results 41 to 50 of about 33,056 (296)
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).
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Advanced Functional Materials, EarlyView.A novel thermos‐responsive hydroxypropyl cellulose/graphene oxide (HPC/GO) composite membrane is fabricated for reversible temperature‐gated ion transport in aqueous zinc‐ion batteries. Enabled by LCST‐driven structural transition, unimpeded ion diffusion at room temperature delivers high capacity, while elevated temperature suppresses transport; full ...
Xueli Bi +9 more
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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
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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.
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Integral averages and oscillation of second order sublinear differential equations [PDF]
, 2002 summary:New oscillation criteria are given for the second order sublinear differential equation \[ [a(t)\psi (x(t))x^{\prime }(t)]^{\prime }+q(t)f(x(t))=0, \quad t\ge t_0>0, \] where $a\in C^1([t_0,\infty ))$ is a nonnegative function, $\psi , f\in C ...
Ayanlar, B +5 more
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Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies
Advanced Functional Materials, EarlyView.The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
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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
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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 +3 more
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Oscillation criteria for Hamiltonian matrix difference systems [PDF]
Proceedings of the American Mathematical Society, 1993 We obtain some oscillation criteria for the Hamiltonian difference system \[ {
Erbe, L. H., Yan, Pengxiang
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Oscillation criteria for third order hyperbolic characteristic initial value problems
, 1981 SynopsisSufficient conditions for oscillation of solutions to third order hyperbolic characteristic initial value problems are established. The results generalize known oscillation criteria for second order hyperbolic problems.
Norio Yoshida, C. C. Travis
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