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Nonlinear Volterra Integral Equations
2011It is well known that linear and nonlinear Volterra integral equations arise in many scientific fields such as the population dynamics, spread of epidemics, and semi-conductor devices. Volterra started working on integral equations in 1884, but his serious study began in 1896. The name integral equation was given by du Bois-Reymond in 1888.
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Volterra-Fredholm Integral Equations
2011The Volterra-Fredholm integral equations [1–2] arise from parabolic boundary value problems, from the mathematical modelling of the spatio-temporal development of an epidemic, and from various physical and biological models. The Volterra-Fredholm integral equations appear in the literature in two forms, namely $$u\left( x \right) = f\left( x \right)
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VOLTERRA INTEGRAL EQUATIONS AND NONLINEAR SEMIGROUPS
Nonlinear Analysis: Theory, Methods & Applications, 1977Publisher Summary This chapter discusses Volterra integral equations and nonlinear semigroups. It presents the nonlinear Volterra integral equation x ( t ) = y ( t ) + ∫ g ( t − s , x ( s )) ds , t ≥ 0, where H is a Hilbert space, y : [0, ∞) → H is given, g : [0, ∞) × H → satisfies a Lipschitz condition in its second place, and x :
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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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Generalized Volterra Integral Equations
2016In this chapter we investigate generalized Volterra integral equations. They are described different methods for finding a solution as an infinite series such as: the Adomian decomposition method, the modified decomposition method, the noise terms phenomenon, the differential equations method and the successive iterations method.
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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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