Results 1 to 10 of about 14,038,334 (310)
Existence and smoothing effects of the initial-boundary value problem for \partial u/\partial t-\Delta\sigma(u)=0 in time-dependent domains [PDF]
Opuscula Mathematica, 2023 We show the existence, smoothing effects and decay properties of solutions to the initial-boundary value problem for a generalized porous medium type parabolic equations of the form \[u_t-\Delta \sigma(u) =0 \quad \text{in } Q(0, T)\] with the initial ...
Mitsuhiro Nakao
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Couples of lower and upper slopes and resonant second order ordinary differential equations with nonlocal boundary conditions [PDF]
Mathematica Bohemica, 2016 A couple ($\sigma,\tau$) of lower and upper slopes for the resonant second order boundary value problem x" = f(t,x,x'), \quad x(0) = 0,\quad x'(1) = \int_0^1 x'(s) {\rm d}g(s), with $g$ increasing on $[0,1]$ such that $\int_0^1 dg = 1$, is a ...
Jean Mawhin +1 more
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Compact perturbations of operators with property (t)
Open Mathematics, 2021 Let ℋ{\mathcal{ {\mathcal H} }} be an infinite dimensional complex Hilbert space and ℬ(ℋ){\mathcal{ {\mathcal B} }}\left({\mathcal{ {\mathcal H} }}) the algebra of all bounded linear operators on ℋ{\mathcal{ {\mathcal H} }}.
Yu Xinling, Shi Weijuan, Ji Guoxing
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Regular matching problems for infinite trees [PDF]
Logical Methods in Computer Science, 2022 We study the matching problem of regular tree languages, that is, "$\exists \sigma:\sigma(L)\subseteq R$?" where $L,R$ are regular tree languages over the union of finite ranked alphabets $\Sigma$ and $\mathcal{X}$ where $\mathcal{X}$ is an alphabet of ...
Carlos Camino +4 more
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Oscillation of deviating differential equations [PDF]
Mathematica Bohemica, 2020 Consider the first-order linear delay (advanced) differential equation x'(t)+p(t)x( \tau(t)) =0\quad(x'(t)-q(t)x(\sigma(t)) =0),\quad t\geq t_0, where $p$ $(q)$ is a continuous function of nonnegative real numbers and the argument $\tau(t)$ $(\sigma(
George E. Chatzarakis
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Journal of Inequalities and Applications, 2023 Let X $\mathcal {X}$ be an infinite-dimensional complex Banach space, B ( X ) $\mathcal {B}(\mathcal {X})$ the algebra of all bounded linear operators on X $\mathcal {X}$ .
Ying Wang
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Boundary Value Problems, 2023 We use an improved technique to establish new sufficient criteria of product type for the oscillation of the delay differential equation x ′ ( t ) + ∑ l = 1 m b l ( t ) x ( σ l ( t ) ) = 0 , t ≥ t 0 , $$\begin{aligned} x'(t)+\sum_{l=1}^{m} b_{l}(t)x\bigl(
Emad R. Attia, Hassan A. El-Morshedy
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Weyl's theorem for algebraically k-quasiclass A operators [PDF]
Opuscula Mathematica, 2012 If \(T\) or \(T^*\) is an algebraically \(k\)-quasiclass \(A\) operator acting on an infinite dimensional separable Hilbert space and \(F\) is an operator commuting with \(T\), and there exists a positive integer \(n\) such that \(F^n\) has a finite rank,
Fugen Gao, Xiaochun Fang
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Existence of positive solutions for a nonlinear semipositone boundary value problems on a time scale
Cubo, 2022 In this paper, we are concerned with the existence of positive solution of the following semipositone boundary value problem on time scales: \begin{align*} (\psi(t)y^\Delta (t))^\nabla + \lambda_1 g(t, \,y(t)) + \lambda_2 h(t,\,y(t)) = 0, \,t \in ...
Saroj Panigrahi, Sandip Rout
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On mean values of some zeta-functions in the critical strip [PDF]
, 2003 For a fixed integer $k\ge 3$ and fixed $1/2 1$ we consider $$ \int_1^T |\zeta(\sigma + it)|^{2k}dt = \sum_{n=1}^\infty d_k^2(n)n^{-2\sigma}T + R(k,\sigma;T), $$ where $R(k,\sigma;T) = o(T) (T\to\infty)$ is the error term in the above asymptotic formula.
Ivić, Aleksandar
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