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linear integral-differential equations

Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments

Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments

... Zhang, Oscillation of first order linear differential equations with deviating arguments, Differential Integral Equations, 1 (1988), 305-314.. [9] N.[r] ...

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Polynomial Integral Transform for Solving Differential Equations

Polynomial Integral Transform for Solving Differential Equations

... to differential equation with variable ...a linear differential equation into an algebraic equation with the use of appropriate substitution ...the differential equations are tedious ...

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A parabolic differential equation with unbounded piecewise constant delay

A parabolic differential equation with unbounded piecewise constant delay

... Integral transforms were successfully used to find the solutions of initial value problems for linear partial differential equations with piecewise constant delay.. It has been shown in [r] ...

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The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications

The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications

... stochastic differential equations with Poisson jumps and with random terminal ...partial differential and integral equations (PDIEs) by using the solution of corresponding BSDE with ...

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Operator Equation and Application of Variation Iterative Method

Operator Equation and Application of Variation Iterative Method

... and differential equation and or approximation by iteration ...and linear equations are proceed to examine some a class of integral-differential equations, to illustrate the ...

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Solving linear integral equations with Fibonacci polynomials

Solving linear integral equations with Fibonacci polynomials

... kind with smooth or weakly singular kernels where the au- thors transform integral equation to linear differential equation [5]. The application of the four Chebyshev polynomials, Leg- endre ...

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A NUMERICAL METHOD FOR SOLVING LINEAR INTEGRAL EQUATIONS

A NUMERICAL METHOD FOR SOLVING LINEAR INTEGRAL EQUATIONS

... of linear and nonlinear, ordinary, partial, deterministic or stochastic differential equations and integro-differential equations with approximate solutions which converge rapidly to ...

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A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential

A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential

... functional equations, such as ordinary or partial differential equations, integral and integral-differential equations ...of integral equation is one of the major ...

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Vol 6, No 10 (2015)

Vol 6, No 10 (2015)

... functional equations, such an ordinary or partial differential equations, integral and integro-differential equations and stochastic ...integro-differential ...

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Linear integral equations, infinite matrices, and soliton hierarchies

Linear integral equations, infinite matrices, and soliton hierarchies

... partial differential equations (PDEs) arise in a variety of areas in modern mathematics and ...such equations, including inverse scattering method, Riemann–Hilbert approach, finite-gap inte- gration, ...

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The Study for Transient Neutron Transport with Pomrning-Eddington Approximation

The Study for Transient Neutron Transport with Pomrning-Eddington Approximation

... algebraic, linear or nonlinear ordinary or partial differential equation, integro-differential, integral and differential delay ...

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Fractionalization of a Class of Semi Linear Differential Equations

Fractionalization of a Class of Semi Linear Differential Equations

... scalar differential equation is considered with a Caputo fractional ...Volterra integral equation of second ...Fourier integral theorem that this formula reduces to that of the integer order ...

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International Journal of Partial Differential Equations and Applications

International Journal of Partial Differential Equations and Applications

... new Integral Transform was introduced in this ...basic linear-differential equations and had succesfully solved the Abel's Generalized equation and derived the Volterra Integral ...

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Path Integral Methods for Stochastic Differential Equations

Path Integral Methods for Stochastic Differential Equations

... the linear response, x(t ) x(t ˜ ) ...The linear response x(t ) x(t ˜ ) will be given by the sum of all diagrams with one entering edge and one exiting ...

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The Application of Homotopy Analysis Method to Non-linear Reaction Diffusion System

The Application of Homotopy Analysis Method to Non-linear Reaction Diffusion System

... problems, linear and nonlinear, many more of the numerical methods are ...solving differential and integral equations, linear and nonlinear, are applied to non-linear reaction ...

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Linear Partial Differential Equations and Fourier Theory - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

Linear Partial Differential Equations and Fourier Theory - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

... Lebesgue integral allows us to chop [a, b] into any number of ‘Borel-measurable ...Lebesgue integral is obtained by taking a limit over all possible ‘Riemann sums’ obtained using such ‘measurable ...

619

SOLUTION OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND KIND USING THE MODIFIED ADOMIAN DECOMPOSITION METHOD

SOLUTION OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND KIND USING THE MODIFIED ADOMIAN DECOMPOSITION METHOD

... paper, linear volterra integro-differential equations are reduced to the standard linear volterra integral equation of the second kind in other to avoid unrealistic assumptions ...

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AN APPROXIMATE SOLUTION OF TWO DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATION USING NEWTON-KANTOROVICH METHOD

AN APPROXIMATE SOLUTION OF TWO DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATION USING NEWTON-KANTOROVICH METHOD

... dimensional integral (NLTD) equations of the second kind have been exploited in several areas, including non homogeneous elasticity and electrostatics (Sankar ...dimensional integral equations ...

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Vol 2, No 9 (2011)

Vol 2, No 9 (2011)

... The idea of homotopy perturbation method was first introduced by He in 1998 [1]. By the homotopy technique in topology, a homotopy can be constructed with an embedding parameter p ∈ [ ] 0,1 , which is considered as a ...

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On a New Fractional Integral Transform and its Applications

On a New Fractional Integral Transform and its Applications

... fractional integral transform operator and < ∈ ℝ ...fractional integral transform D [()](<) = E (<) is bounded and continuous for all < ∈ ℝ ...fractional integral transform that we have ...

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