Results 31 to 40 of about 307 (168)
A Singular Nonlinear Volterra Integral Equation
Journal of Integral Equations and Applications, 1993 Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
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Extrapolation Method for Non-Linear Weakly Singular Volterra Integral Equation with Time Delay
Mathematics, 2021 This paper proposes an extrapolation method to solve a class of non-linear weakly singular kernel Volterra integral equations with vanishing delay. After the existence and uniqueness of the solution to the original equation are proved, we combine an ...
Li Zhang, Jin Huang, Hu Li, Yifei Wang
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Exponential stabilization of volterra integral equations with singular kernels
Journal of Integral Equations and Applications, 1988 Stabilization problems for certain problems of partial-differential integral equations with possible singular kernels as encountered in the theory of linear viscoelasticity are discussed. Applications of the theory to some mechanical stabilization problems are also illustrated.
Desch, Wolfgang, Miller, Richard K.
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Journal of Function Spaces, 2017 We develop a generalized Jacobi-Galerkin method for second kind Volterra integral equations with weakly singular kernels. In this method, we first introduce some known singular nonpolynomial functions in the approximation space of the conventional Jacobi-
Haotao Cai
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Solving one pseudo-Volterra integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper, we study the solvability of a second - kind pseudo-Volterra integral equation. By replacing the right - hand side and the unknown function, the integral equation is reduced to an integral equation, the kernel of which is not «compressible»
M.T. Kosmakova +4 more
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Journal of Mathematics, 2022 In this paper, we propose and analyze a spectral approximation for the numerical solutions of fractional integro-differential equations with weakly kernels.
Xiulian Shi
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A Biorthogonal Hermite Cubic Spline Galerkin Method for Solving Fractional Riccati Equation
Mathematics, 2022 This paper is devoted to the wavelet Galerkin method to solve the Fractional Riccati equation. To this end, biorthogonal Hermite cubic Spline scaling bases and their properties are introduced, and the fractional integral is represented based on these ...
Haifa Bin Jebreen, Ioannis Dassios
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On the Volterra integral equation with weakly singular kernel [PDF]
Mathematica Bohemica, 2006 Summary: We give sufficient conditions for the existence of at least one integrable solution of equation \(x(t)=f(t)+\int _{0}^{t} K(t,s)g(s,x(s))\,ds\). Our assumptions and proofs are expressed in terms of measures of noncompactness.
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Multi-step Methods for First Kind Singular Volterra Integral Equations [PDF]
Journal of Integral Equations and Applications, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gladwin, C.J., Garey, L.E.
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Numerical treatments for solving nonlinear mixed integral equation
Alexandria Engineering Journal, 2016 We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
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