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Revista Técnica de la Facultad de Ingeniería, 2011 The object of this paper is to obtain the solution of a general class of integral equations examples of which occur widely in boundary value problems in applied mathematics.
J. S. Lowndes
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The Solution of Generalization of the First and Second Kind of Abel’s Integral Equation
JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 Integral equations are equations in which the unknown function is found to be inside the integral sign. N. H. Abel used the integral equation to analyze the relationship between kinetic energy and potential energy in a falling object, expressed by two ...
Muhammad Taufik Abdillah +2 more
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Integral Operators of Mixed Type of Nonlinear Integral Equation [PDF]
مجلة التربية والعلم, 2018 In this paper, we investigate some properties of nonlinear integral operators of mixed type of integral equations with kernels depending on two variables. The results concerning the continuity and compactness of these operators are obtained.
Lamyaa H. Saadoon
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Solving Volterra-Fredholm integral equations by natural cubic spline function
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 Using the natural cubic spline function, this paper finds the numerical solution of Volterra-Fredholm integral equations of the second kind. The proposed method is based on employing the natural cubic spline function of the unknown function at an ...
S.H. Salim, K.H.F. Jwamer, R.K. Saeed
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Contractions of Integrable Equations [PDF]
International Journal of Modern Physics A, 1997 The contraction is applied to obtaining of integrable systems associated with nonsemisimple algebras. The effect of contraction is splitting off some components from initial system without loss of integrability.
V. V. Kuratov +2 more
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To the solution of one pseudo-Volterra integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper, we study a homogeneous singular integral Volterra equation of the second kind (pseudoVolterra integral equation). The singularity of the integral equation is shown. Properties of its kernel are proved.
M.T. Jenaliyev +3 more
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Glasgow Mathematical Journal, 1974 We shall solve the equationwhere 0 <a<b, and f(x) is a continuous function on the interval (a, b).
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Families of Integrable Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through B cklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some integrability properties.
Kassotakis, P., Nieszporski, M.
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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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On a second-order integro-differential equation with difference kernels and power nonlinearity [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The article studies a second-order integro-differential equation with difference kernels and power nonlinearity. A connection is established between this equation and an integral equation of the convolution type, which arises when describing the ...
S.N. Askhabov
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