On an Integral Equation in Population Analysis

Mathematical analysis of an integral equation arising from population dynamics.

In this paper, we establish the existence of travelling wave solution to an intrinsically non-linear differential-integral equation formed as a result of mathematical modelling of the evolution of an asexual population in a changing environment. This equation is first converted to a non-linear integral equation. The discretization and manipulation of the corresponding eigenvalue problem allows ...

On an Integral Equation

In the recent paper [2], the authors obtained new proofs on the existence and uniqueness of the solution of the Volterra linear equation. Applying their results, in this paper we express the exact and approximate solution of the equation in the field of Mikusi´nski operators, F, which corresponds to an integro–differential equation.

Numerical Analysis of the Telegraph Equation with an Integral Condition

In this paper, an alternative method for accurately and efficiently modeling for the onedimensional Telegraph equation that combines classical and integral boundary conditions is presented. New matrix formulation technique with arbitrary polynomial bases is proposed for the numerical/analytical solution of this kind of partial differential equation. Not only the exact solutions have been achiev...

An Integral Equation in Conformal Geometry

an investigation on influencing factors on tourists shopping attitude of iranian handmade carpet in isfahan

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