Results 151 to 160 of about 208,946 (296)
We prove the unique solvability of a boundary-value problems for a third-order loaded integro-differential equation with variable coefficients, by reducing the equation to a Volterra integral equation.
Bozor Islomov, Umida I. Baltaeva
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Nonlinear Volterra integral equations with positive definite kernels [PDF]
Olof J. Staffans
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Perturbations of Volterra integral equations
R.K Miller, J.A Nohel, James S. W. Wong
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Jacobi spectral collocation method for the approximate solution of multidimensional nonlinear Volterra integral equation. [PDF]
Wei Y, Chen Y, Shi X, Zhang Y.
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Asymptotic solutions of linear Volterra integral equations with singular kernels [PDF]
J. S. W. Wong, R. Wong
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Monotone solutions of Volterra integral equations
The author studies the existence of monotone (increasing or decreasing) solutions of the Volterra equation \[ x(t)=f(t)+\int^{t}_{0}k(t- s)U(s,x(s)) ds,\quad t\geq 0, \] and its special case \(x(t)=f(t)+\int^{t}_{0}k(t-s)T(x(s)) ds,\quad t\geq 0.\) A large number of sufficient conditions are given and examples where the results are applicable are also ...
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Numerical solution of Volterra integral equations
The numerical method discussed in this paper is based on quadrature formulae. With some assumptions on the coefficients of the quadrature formula and on the integrand, convergence properties of the method for both linear and non-linear equations are established.
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Comparison theorems and integral inequalities for Volterra integral equations
Paul R. Beesack
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On a non-linear Volterra integral equation with singular kernel [PDF]
Takashi Kanazawa
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Asymptotically periodic solutions of Volterra integral equations
We study the existence of asymptotically periodic solutions of a nonlinear Volterra integral equation. In the process, we obtain the existence of periodic solutions of an associated nonlinear integral equation with infinite delay.
Muhammad N. Islam
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