convolution-type integral equation
Solvability of some classes of singular integral equations of convolution type via Riemann–Hilbert problem
... for integral equa- tions of Cauchy type and integral equations of convolution type ...singular integral equation (SIE) of Wiener–Hopf type with continuous ...
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Some classes of singular integral equations of convolution type in the class of exponentially increasing functions
... In this article, some classes of SIEs of convolution type with Cauchy kernels are solved in the class of exponentially increasing functions. By Fourier transform, such equations are transformed into RBVPs ...
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Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem
... singular integral equations of convolution type with Hilbert kernel and ...an equation can be changed into a discrete boundary value problem depending on some parameter, here we call it ‘a ...
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Some New Applications of Elzaki Transform for Solution of Linear Volterra Type Integral Equations
... nonlinear integral equations have been ...Volterra integral equation of the second kind by using Sinc basis ...Volterra integral equations of second kind (convolution type) by ...
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5. Subclasses of starlike functions involving Srivastava-Attiya Integral operator
... various integral operators introduced by Alexander [2] , Bernardi[4] and Jung-Kim-Srivastava integral operator [15] closely related to some multiplier transformation studied by Fleet ...
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Chen_unc_0153D_17306.pdf
... Helmholtz equation with complicated boundary ...Helmholtz equation is reformulated into a second-kind boundary integral equation, which gives it a well-conditioned representation and then ...
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Operator Covariant Transform and Local Principle
... The final step of the construction is synthesis of an operator from the field of local representatives using the inverse covariant transform from Subsection 2.3. To this end we need to chose an invariant pairing on the ...
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On Integral Operator Defined by Convolution Involving Hybergeometric Functions
... then fz is said to be strongly convex of order β and type α in U, and denoted by Cα, β. It is obvious that fz ∈ A belongs to Cα, β if and if zf z ∈ S ∗ α, β. Further, we note that S ∗ α, 1 ≡ S ∗ α and Cα, 1 ≡ Cα ...
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Forced Oscillation of Neutral Impulsive Parabolic Partial Differential Equations with Continuous Distributed Deviating Arguments
... This paper investigated oscillatory properties of solutions for nonlinear parabolic equations with impulsive effects under two different boundary conditions. By using integral averaging method, variable ...
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Fixed point theorems for Ćirić type mapping and application to integral equation
... In this paper, we introduce a new class of ´Ciri´c type single-valued mapping with respect to u-distance and prove some fixed point theorems for this mapping. An example is given to show that our results are a ...
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The Integral Equation, Corresponding to the Ordinary Differential Equation
... K x s = K x s K x s = ∫ K x t K − t s t . (3.7) For the Equation (3.4) approximate resolvent kernel and solutions are expressed in elementary functions. The interval on which the approximate solution practically ...
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Dropped Ball Travel Time using Variation and Integration
... Constraint Equation: A horizontal well completion profile is defined by (s, ε ) data points where s is the distance along the well from the terminal point, the seat measured depth (MD=3200m), and ε is the vertical ...
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Mode Stresses for the Interaction between Straight and Curved Cracks Problem in Plane Elasticity
... In this paper, the complex variable function method is used to obtain the hypersingular integral equations for the interaction between straight and curved cracks problem in plane elasticity. The curved length ...
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II. THE BOUNDARY INTEGRAL EQUATION
... There exist two principal variants of applying this method: the direct method and the indirect one. Both of them offer the principal advantage of the BEM over the other numerical method - the ability to reduce the ...
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Compactness of the set of trajectories of the control system described by a Urysohn type integral equation with quadratic integral constraints on the control functions
... Urysohn type integral equation is ...differential equation can be reduced to the solution of the suitable Urysohn type integral ...Urysohn type integral ...
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A Spectral Integral Equation Solution of the Gross Pitaevskii Equation
... A method is presented of solving for the L 0 partial wave function of the the Gross Pitaevskii nonlinear dif- ferential equation. A Hartree potential V H is used as a key vehicle for performing the iterations ...
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Integral equations for fluids of linear molecules. I. General formulation
... A general procedure is described that puts the practice of integral equation theory for molecular fluids on a par with that of simple fluids : any integral equation approximati[r] ...
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An application of the Romberg Extrapolation on Modified Trapezoidal Quadrature method for solving linear Volterra Integral Equations of the second type
... Volterra integral equation of the second type we noted that despite the discretization over a few points, more efficient and accurate result are obtained, but in contrast with the results obtained in ...
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Existence of weak solutions for a boundary value problem of a second order ordinary differential equation
... the equation are the Carathéodory conditions, and the main tool is a Krasnosel’skii type fixed point theorem in conjunction with the tech- nique of measures of weak ...
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II. THE BOUNDARY INTEGRAL EQUATION
... In the boundary element approach used herein, for solving the integral equation (7) we use linear isoparametric boundary elements of Lagrangean type. The body surface, Σ , is divided into M plane ...
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