Results 41 to 50 of about 1,909 (109)
Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales
Discrete Dynamics in Nature and Society, Volume 2015, Issue 1, 2015., 2015 We consider Volterra integral equations on time scales and present our study about the long time behavior of their solutions. We provide sufficient conditions for the stability and investigate the convergence properties when the kernel of the equations vanishes at infinity.
Eleonora Messina +2 more
wiley +1 more source
Non-local Torsion functions and Embeddings
, 2018 Given $s \in (0,1)$, we discuss the embedding of $\mathcal D^{s,p}_0(\Omega)$ in $L^q(\Omega)$. In particular, for $1\le q < p$ we deduce its compactness on all open sets $\Omega\subset \mathbb R^N$ on which it is continuous. We then relate, for all q up
Franzina, Giovanni
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Numerical Linear Algebra with Applications, Volume 31, Issue 1, January 2024.Abstract We consider here a cell‐centered finite difference approximation of the Richards equation in three dimensions, averaging for interface values the hydraulic conductivity K=K(p)$$ K=K(p) $$, a highly nonlinear function, by arithmetic, upstream and harmonic means.
Daniele Bertaccini +3 more
wiley +1 more source
Maximum Principles for Discrete and Semidiscrete Reaction‐Diffusion Equation
Discrete Dynamics in Nature and Society, Volume 2015, Issue 1, 2015., 2015 We study reaction‐diffusion equations with a general reaction function f on one‐dimensional lattices with continuous or discrete time ux′ (or Δtux)=k(ux-1-2ux+ux+1)+f(ux), x∈Z. We prove weak and strong maximum and minimum principles for corresponding initial‐boundary value problems.
Petr Stehlík +2 more
wiley +1 more source
Nonlocal problems with critical Hardy nonlinearity
, 2018 By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth.Comment:
Chen, Wenjing +2 more
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Sturm-Picone type theorems for nonlinear differential systems
Electronic Journal of Differential Equations, 2015 In this article, we establish a Picone-type inequality for a pair of first-order nonlinear differential systems. By using this inequality, we give Sturm-Picone type comparison theorems for these systems and a special class of second-order half-linear ...
Aydin Tiryaki
doaj
MathematicsThe aim of this paper is to demonstrate the existence of a unique positive solution to non-local fractional p-Laplacian equations of the Brézis–Oswald type involving Hardy potentials.
Yun-Ho Kim
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A uniqueness criterion for measure-valued solutions of scalar hyperbolic conservation laws
, 2018 We prove existence and uniqueness of Radon measure-valued solutions of the Cauchy problem $$ \begin{cases} u_t+[\varphi(u)]_x=0 & \text{in } \mathbb{R}\times (0,T) \\ u=u_0\ge 0 &\text{in } \mathbb{R}\times \{0\}, \end{cases} $$ where $u_0$ a positive ...
Bertsch, Michiel +3 more
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Abstract Book: 25th Congress of the European Hematology Association Virtual Edition, 2020
, 2020 HemaSphere, Volume 4, Issue S1, Page 1-1168, June 2020.
wiley +1 more source