Results 141 to 150 of about 249,760 (328)
Existence and Asymptotic Behavior of Solutions for Weighted -Laplacian System Multipoint Boundary Value Problems in Half Line [PDF]
Zhimei Qiu, Qihu Zhang, Yan Wang
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ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
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Summary: Let \(G\) be a connected graph of order \(n\) with Laplacian eigenvalues \(\mu_1\geq\mu_2\geq\cdots\geq\mu_{n-1}>\mu_n=0\). The Laplacian energy of the graph \(G\) is defined as \(LE=LE(G)=\sum_{i=1}^n| \mu_i-2m/n| \). Upper bounds for \(LE\) are obtained in terms of \(n\) and the number of edges \(m\).
Das, Kinkar Ch. +3 more
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We prove, for Orlicz spaces LA(ℝN) such that A satisfies the Δ2 condition, the nonresolvability of the A‐Laplacian equation ΔAu + h = 0 on ℝN, where ∫h ≠ 0, if ℝN is A‐parabolic. For a large class of Orlicz spaces including Lebesgue spaces Lp (p > 1), we also prove that the same equation, with any bounded measurable function h with compact support ...
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Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
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In the present paper, we prove several vanishing theorems for the kernel of the Lichnerowicz-type Laplacian and provide estimates for its lowest eigenvalue on closed Riemannian manifolds.
Josef Mikeš +2 more
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Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
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On the superlinear Steklov problem involving the p(x)-Laplacian
Abdesslem Ayoujil
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Nonlinearities with zeros for Laplacian, p−Laplacian and Poly-Laplacian
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