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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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Legendre wavelets method for the nonlinear Volterra–Fredholm integral equations
Mathematics and Computers in Simulation, 2005Mohsen Razzaghi
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A Solution for Volterra Fractional Integral Equations by Hybrid Contractions
Mathematics, 2019Hassen Aydi +2 more
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Taylor polynomial solutions of nonlinear Volterra–Fredholm integral equations
Applied Mathematics and Computation, 2002Salih Yalçınbaş
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A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering, 2006
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