Results 61 to 70 of about 5,516 (189)
An Abstract Semilinear Volterra Integrodifferential Equation [PDF]
Proceedings of the American Mathematical Society, 1978 The abstract semilinear Volterra integrodifferential equation \[ u ′ ( t ) = A u ( t ) + ∫ 0 t g ( t − s , u ( s ) )
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, 2015 We study optimal control problems in infinite horizon when the dynamics belong to a specific class of piecewise deterministic Markov processes constrained to star-shaped networks (inspired by traffic models). We adapt the results in [H. M. Soner. Optimal
Goreac, Dan +2 more
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This paper explores the solvability of multiterm hybrid functional equations with multiple delays, addressing these equations under some nonlocal hybrid boundary conditions. By applying Schauder fixed‐point theorem, we establish the existence of continuous solutions and provide sufficient requirements for the continuous dependence of the unique ...
A. M. A. El-Sayed +4 more
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An abstract ultraparabolic integrodifferential equation
Le Matematiche, 1998 We prove an existence and uniqueness result for a ultraparabolic integrodifferential equation in the strip [0, T1 ] × [0, T2 ] in the context of the spaces of continuous functions with values in a Banach space X and we give some applications to specific ...
Luca Lorenzi
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Compressible hydromagnetic nonlinearities in the predecoupling plasma
, 2011 The adiabatic inhomogeneities of the scalar curvature lead to a compressible flow affecting the dynamics of the hydromagnetic nonlinearities. The influence of the plasma on the evolution of a putative magnetic field is explored with the aim of obtaining ...
A. P. Kazantsev +28 more
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Certain Constraints for Functions Provided by Touchard Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Since finding solutions to integral equations is usually challenging analytically, approximate methods are often required, one of which is based on Touchard polynomials. This paper examines the necessary constraints for the functions Ϝετς,Πε,τ,ςℏ, and the integral operator Lετς, defined by Touchard polynomials, to be in the comprehensive subclass ∁η(q3,
Tariq Al-Hawary +3 more
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Some considerations for Linear integrodifferential equations
Journal of Mathematical Analysis and Applications, 1984 Consider the equations \[ (1)\quad \dot x(t)=Ax(t)+\int^{t}_{0}B(t- s)x(s)ds+f(t), \] \(x(0)=x_ 0\), \(t\geq 0\) and \(\dot y(\)t)\(=Ay(t)\), \(y(0)=x_ 0\), \(t\geq 0\), defined in a Banach space. A number of relations between the solutions x(\(\cdot)\) and y(\(\cdot)\) are established.
Desch, Wolfgang +2 more
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Integral equation for gauge invariant quark Green's function
, 2008 We consider gauge invariant quark two-point Green's functions in which the gluonic phase factor follows a skew-polygonal line. Using a particular representation for the quark propagator in the presence of an external gluon field, functional relations ...
H. Sazdjian +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan +4 more
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Journal of Applied Mathematics, 2012 A new positive definite expanded mixed finite element method is proposed for parabolic partial integrodifferential equations. Compared to expanded mixed scheme, the new expanded mixed element system is symmetric positive definite and both the gradient ...
Yang Liu, Hong Li, Jinfeng Wang, Wei Gao
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