Results 181 to 190 of about 26,274 (211)
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A Stieltjes–Volterra Integral Equation Theory
Canadian Journal of Mathematics, 1966Suppose S = [a, b] is a number interval and F is a function from S X S to a normed algebraic ring N with multiplicative identity I. We consider the problem of finding, for appropriate conditions on F, a function M from S X S to N such that for all t and x,where the integral is a Cauchy-left integral.
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On Volterra Integral Equations on Time Scales
Mediterranean Journal of Mathematics, 2014The following Volterra integral equations are considered: \[ x(t)=f(t)+\int\limits_{a}^{t} g(t,s,x(s))\Delta s \] and \[ x(t)=f(t)+\int\limits_{a}^{t} g(t,s,x(\sigma(s)))\Delta s, \] where \(x: \mathbb{T}\to \mathbb{R}^n\) is the unknown function, \(g: \mathbb{T}\times\mathbb{T}\times\mathbb{R}^n\to\mathbb{R}^n\) and \(f:\mathbb{T}\to\mathbb{R}^n\) are
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Volterra integral equations and evolution equations with an integral condition
Differential Equations, 2017We suggest a simple method for reducing problems with an integral condition for evolution equations to a Volterra integral equation of the first kind. For Volterra equations of the convolution type, we indicate necessary and sufficient solvability conditions for the case in which the right-hand side lies in some classes of functions of finite ...
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An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne Penberthy +2 more
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The mechanisms of integral membrane protein biogenesis
Nature Reviews Molecular Cell Biology, 2021Ramanujan Shankar Hegde, Robert J Keenan
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Planning for tomorrow: global cancer incidence and the role of prevention 2020–2070
Nature Reviews Clinical Oncology, 2021Isabelle Soerjomataram, Frank Bray
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Antibiofilm activity of host defence peptides: complexity provides opportunities
Nature Reviews Microbiology, 2021, Morgan A Alford, Evan F Haney
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