Results 131 to 140 of about 48,064 (258)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
wiley +1 more source
Nonlocal problems in partial differential equations.
, 2013 Tesis doctoral inédita, leída en Universidad Autónoma de Madrid, Facultad de Ciencias, Departamento de Matemáticas.
openaire +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.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
wiley +1 more source
Existence of solutions for an abstract second-order differential equation with nonlocal conditions
Electronic Journal of Differential Equations, 2009 We discuss the existence of mild solutions for abstract second-order differential equation with nonlocal conditions. Also we consider some application of our results.
Eduardo Hernandez M.
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Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, EarlyView.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
wiley +1 more source
Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
Mathematical Methods in the Applied Sciences, EarlyView.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
wiley +1 more source
Numerical solution for nonlocal Sobolev-type differential equations
Electronic Journal of Differential Equations, 2010 We present a numerical approximate solution to Sobolev-type differential equation subject to nonlocal initial boundary conditions. A Laplace transform method is described for the solution of considered equation.
Shruti A. Dubey
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Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To evaluate a three dimensional dual echo magnetic resonance fingerprinting sequence for simultaneous proton resonance frequency shift (PRFS) and T1$$ {T}_1 $$ thermometry during microwave ablation with T1$$ {T}_1 $$ improving robustness near gas bubble induced susceptibility changes while PRFS provides high precision elsewhere ...
Moritz Gutt +7 more
wiley +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Understanding the dynamic behavior of structural components is crucial for optimizing performance and ensuring structural integrity. This study presents a new method that combines a systematic experimental investigation of four distinct hole geometries (circular, square, compact rectangular, and long rectangular) with varying hole counts, all ...
Amir Hossein Rabiee +3 more
wiley +1 more source
Existence and multiplicity of positive solutions for a nonlocal differential equation
Boundary Value Problems, 2011 In this paper, the existence and multiplicity results of positive solutions for a nonlocal differential equation are mainly considered.
Wang Fanglei, An Yukun, Wang Yunhai
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