Results 31 to 40 of about 269,773 (341)
On the geometric structure of characteristic vector fields related with nonlinear equations of the Hamilton-Jacobi type [PDF]
Opuscula Mathematica, 2007 The Cartan-Monge geometric approach to the characteristics method for Hamilton-Jacobi type equations and nonlinear partial differential equations of higher orders is analyzed.
Natalia K. Prykarpatska +1 more
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Automatic symmetrization and energy estimates using local operators for partial differential equations [PDF]
, 2007 We develop a method for automatically symmetrizing Petrowsky well-posed Cauchy problems for constant coefficient linear partial differential equations. The method is rooted in the Sturm sequence technique for establishing the location of the roots of a ...
Appelö, Daniel,, Hagstrom, Thomas,
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Dynamics of cell growth: Exponential growth and division after a minimum cell size
Partial Differential Equations in Applied MathematicsIn this paper, we consider a mathematical model for cell division using a Pantograph-type nonlocal partial differential equation, accompanied by relevant initial and boundary conditions. This formulation results in a nonlocal singular eigenvalue problem.
M. Mohsin, A.A. Zaidi, B. van Brunt
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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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Dichotomy and periodic solutions to partial functional differential equations
, 2017 We establish a sufficient condition for existence and uniqueness of periodic solutions to partial functional differential equations of the form \begin{document} $\dot{u}=A(t)u+F(t)(u_t)+g(t,u_t)$ \end{document} on a Banach space \begin{document} $X$ \end{
N. Huy, Ngo Quy Dang
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The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations [PDF]
, 2020 This article presents a reformulation of the Theory of Functional Connections: a general methodology for functional interpolation that can embed a set of user-specified linear constraints. The reformulation presented in this paper exploits the underlying
Daniele Mortari +2 more
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Meshfree methods for partial differential equations IX [PDF]
, 2022 This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics ...
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Numerical solution methods for fractional partial differential equations [PDF]
, 2017 Fractional partial differential equations have been developed in many different fields such as physics, finance, fluid mechanics, viscoelasticity, engineering and biology. These models are used to describe anomalous diffusion.
Osman, Sheelan Abdulkader
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Journal of Applied Mathematics, 2013 We discuss the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses. By applying impulsive Gronwall-Bellman inequality, the stochastic analytic techniques, the fractional ...
Nan Ding
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Admissible integral manifolds for partial neutral functional-differential equations
Ukrains’kyi Matematychnyi Zhurnal, 2022 UDC 517.9 We prove the existence and attraction property for admissible invariant unstable and center-unstable manifolds of admissible classes of solutions to the partial neutral functional-differential equation in Banach space X of the form & ∂ ∂ t F
Thieu Huy Nguyen +2 more
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