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An Equation of Volterra

1971
Consider the system $${\rm{A\:x}}\left( {\rm{t}} \right) + {\rm{Bx}}\left( {\rm{t}} \right) = \int_0^{\rm{r}} {{\rm{F}}\left( \theta \right){\rm{x}}\left( {{\rm{t}} - \theta } \right)} {\rm{d}}\theta $$ (15.1) where A,B,F are symmetric n × n matrices and F is continuously differentiable. Let $${\rm{M}} = {\rm{B}} - \int_0^{\rm{r}} {{\rm{F}
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On controllability for a nonlinear Volterra equation [PDF]

open access: possibleNonlinear Analysis: Theory, Methods & Applications, 1990
Summary: We consider the following nonlinear Volterra wave equation with a control function \(h(t)\): \[ u_{tt}=u_{xx}-\int^ t_ 0 k(t,s)f(u(s,x))dx+b(x)h(t),\quad ...
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Eigenvalues and Nonlinear Volterra Equations

1995
This paper is devoted to present a solution to the eigenvalue problem for non-linear Volterra operators having the form $$ Tu(x) = \int_0^x {k(x - s)g(u(s))} ds $$ .
Arias M., Castillo J., SIMOES, Marilda
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New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race

New England Journal of Medicine, 2021
Lesley A Inker   +2 more
exaly  

Generalized bioelectric impedance‐based equations underestimate body fluids in athletes

Scandinavian Journal of Medicine and Science in Sports, 2021
Luís Sardinha   +2 more
exaly  

Some analytical and numerical investigation of a family of fractional‐order Helmholtz equations in two space dimensions

Mathematical Methods in the Applied Sciences, 2020
Hari Mohan Srivastava   +2 more
exaly  

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