Results 101 to 110 of about 96,434 (313)
Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments
Abstract and Applied Analysis, 2012 We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments.
Juan J. Nieto, Rosana Rodríguez-López
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Investigation of the spectrum of the Sturm–Liouville problem with a nonlocal integral condition
Lietuvos Matematikos Rinkinys, 2013 This paper presents some new results on the spectrum for the second order dif-ferential problem with one integral type nonlocal boundary condition (NBC).
Agnė Skučaitė, Artūras Štikonas
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Nonlocal active sound control for composite regions
Mathematical Methods in the Applied Sciences, EarlyView.In the active sound control problem, additional sound sources, known as control sources, are implemented at the perimeter of a protected domain. The control sources can generate secondary sound inside the shielded domain, which attenuates incoming noise. This leads to an inverse source problem.
Nan Hu, Sergey Utyuzhnikov
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Mathematical Methods in the Applied Sciences, EarlyView.The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
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A problem with nonlocal integral 1st kind conditions for 4th order partial differential equation
Вестник Самарского университета: Естественнонаучная серияIn this article, we consider a nonlocal problem with integral conditions for one-dimensional 4th order partial differential equation. A distinguishing feature of this problem is the presence of integral conditions of the 1st kind.
Ludmila S. Pulkina
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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
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APPLICATION OF MEASURES OF WEAK NONCOMPACTNESS TO A NONLOCAL DARBOUX PROBLEM [PDF]
, 2009 Piotr Majcher, Sushil Sharma
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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
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A quasinonlocal coupling method for nonlocal and local diffusion models
, 2017 In this paper, we extend the idea of "geometric reconstruction" to couple a nonlocal diffusion model directly with the classical local diffusion in one dimensional space.
Du, Qiang +3 more
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On nonlocal boundary value problems for hybrid fractional sum-difference equations involving different orders [PDF]
, 2018 Saowaluck Chasreechai +46 more
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