Results 21 to 30 of about 428,778 (188)
Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay [PDF]
Opuscula Mathematica, 2014 We consider the Darboux problem for the hyperbolic partial functional differential equation with infinite delay. We deal with generalized (in the "almost everywhere" sense) solutions of this problem.
Tomasz Człapiński
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GREEN'S FUNCTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH INVOLUTIONS
Journal of Applied Analysis & Computation, 2017 Summary: In this paper we develop a way of obtaining Green's functions of partial differential equations with linear involutions by reducing the equation to a higher-order PDE without involutions. The developed theory is applied to a model of heat transfer in a conducting plate which is bent in half.
Adrian, F., Tojo, F., Torres, Pedro J.
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Results in Applied Mathematics, 2021 We consider a nonlinear partial differential equation of Yamabe-type. In Boucheche (2019), it has been proved that the problem admits a solution under the assumption that the gradient of the associated variational functional is lower bounded by a ...
Khadijah Sharaf
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. The problem of evaluation of the special (singular) solutions of Clairaut-type partial differential equations attracts a lot of interest studying various transformations of nonlinear equations of mathematical physics, for example, Legendre
L. L. Ryskina +2 more
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Axioms, 2023 This paper considers a 1D time-domain inverse scattering problem for the Helmholtz equation in which penetrable scatterers are to be determined from boundary measurements of the scattering data.
Nguyen Trung Thành
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Hypercontractivity for functional stochastic partial differential equations
Electronic Journal of Probability, 2015 17 ...
Bao, Jianhai +2 more
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A Partial Functional Differential Equation
Journal of Mathematical Analysis and Applications, 2001 The author of this interesting paper investigates the partial functional differential equation \[ \partial u(x,t)\partial t =k \partial^2 u(x,t)\partial x^2+ru(x,t-T)[1-u(x,t)], \;\;t\geq 0, \;\;x\in [{}0,\pi ]{} \] under the boundary condition \(u(0,t)=u(\pi ,t)=0\) (\(t>0\)) and \(u(x,s)=\phi (x,s)\), \(-T\leq s\leq 0\), \(0\leq x\leq \pi \).
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How to compute the length of a geodesic on a Riemannian manifold with small error in arbitrary Sobolev norms [PDF]
, 2008 We compute the length of geodesics on a Riemannian manifold by regular polynomial interpolation of the global solution of the eikonal equation related to the line element $ds^2=g_{ij}dx^idx^j$ of the manifold.
Kampen, Joerg
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Energies, 2022 This paper presents a mathematical model of an electric power system which consists of a three-phase power line with distributed parameters and an equivalent, unbalanced RLC load cooperating with the line.
Andriy Chaban +3 more
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The system of partial differential equations for the C0 function
Nuclear Physics B, 2019 We present an approach to analyze the scalar integrals of any Feynman diagrams in detail here. This method not only completely recovers some well-known results in the literature, but also produces some brand new results on the $C_{_0}$ function.
Tai-Fu Feng +3 more
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