Results 41 to 50 of about 3,336,558 (167)
Oscillatory Property of Solutions for p(t)-Laplacian Equations
We consider the oscillatory property of the following p(t)-Laplacian equations −(|u'|p(t)−2u')'=1/tθ(t)g(t,u), t>0. Since there is no Picone-type identity for p(t)- Laplacian equations, it is an unsolved problem that whether the Sturmian ...
Qihu Zhang
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Local Boundedness of Weak Solutions for Nonlinear Parabolic Problem with p(x)-Growth
We study the nonlinear parabolic problem with p(x)-growth conditions in the space W1,xLp(x)(Q) and give a local boundedness theorem of weak solutions for the following equation (∂u/∂t)+A(u)=0, where A(u)=−diva(x,t,u,∇u)+a0(x,t,
Yongqiang Fu, Ning Pan
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Remediation of Anomia in lvPPA and svPPA
Anomia treatment efficacy has been examined in cases with different subtypes of primary progressive aphasia (PPA), and it has been evaluated in groups of participants with the semantic variant (svPPA), but efficacy has not been examined in groups with ...
Aaron Meyer +2 more
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P–T–X Conditions of metamorphic systems
Constraining physical and chemical information from metamorphic rocks is crucial for our understanding of the geochemical and geodynamic processes governing the Earth's evolution through time. This chapter presents an overview of the methods currently available for extracting quantitative information from metamorphic rocks, in terms of their pressure ...
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Sign-constancy of Green’s functions for impulsive nonlocal boundary value problems
We consider the following second order impulsive differential equation with delays: {(Lx)(t)≡x″(t)+∑j=1paj(t)x′(t−τj(t))+∑j=1pbj(t)x(t−θj(t))=f(t),t∈[0,ω],x(tk)=γkx(tk−0),x′(tk)=δkx′(tk−0),k=1,2,…,r.
A. Domoshnitsky, Iu. Mizgireva
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Nonexistence results for a time-fractional biharmonic diffusion equation
We consider weak solutions of the nonlinear time-fractional biharmonic diffusion equation ∂ t α u + ∂ t β u + u x x x x = h ( t , x ) | u | p $\partial _{t}^{\alpha }u+\partial _{t}^{\beta }u+u_{xxxx}=h(t,x)|u|^{p}$ in ( 0 , ∞ ) × ( 0 , 1 ) $(0,\infty ...
Mohamed Jleli, Bessem Samet
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Oscillation in neutral equations with an ?integrally small? coefficient
Consider the neutral delay differential equationddt[x(t)-P(t)x(t-t)]+Q(t)x(t-d)=0,???t=t0(*)Where P, Q?C([t0,8],R+), t?(0,8) and d?R+. We obtain several sufficient conditions for the oscillation of all solutions of Eq. (*) without the restriction ?t08Q(s)
J. S. Yu, Ming-Po Chen
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Oscillation for advanced differential equations with oscillating coefficients
Some sufficient conditions are established for the oscillation of all solutions of the advanced differential equation x′(t)−p(t)x(t+τ)=0, t≥t0, where the coefficient p(t)∈C([t0,∞),R) is oscillatory, and τ is a positive constant.
Xianyi Li, Deming Zhu, Hanqing Wang
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Motivated, mainly, by the works of Fewster-Young and Tisdell [9,10] and Orpel [30], as well as the papers by Karakostas [21,22,23], we give sufficient conditions to guarantee the existence of (nontrivial) solutions of the second-order Phi-Laplacian
George L. Karakostas +2 more
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Positive solutions for the one-dimensional Sturm-Liouville superlinear p-Laplacian problem
We prove the existence of positive classical solutions for the p-Laplacian problem $$\displaylines{ -(r(t)\phi (u'))'=f(t,u),\quad t\in (0,1), \cr au(0)-b\phi ^{-1}(r(0))u'(0)=0,\ cu(1)+d\phi ^{-1}(r(1))u'(1)=0, }$$ where $\phi (s)=|s|^{p-2}s$, $p ...
Khanh Duc Chu, Dang Dinh Hai
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