On a nonlinear convolution equation occurring in the theory of water percolation
On iterative solution of nonlinear functional equations in a metric space.
On Monotone Abel-Volterra Integral Equations on the Half Line.
On monotonic solutions of an integral equation of Abel type
We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in . The famous Chandrasekhar’s integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.
On nonstandard potentials in a Stefan problem.
On solutions of integral equations with analytic kernels and rotations
We deal with a class of integral equations on the unit circle in the complex plane with a regular part and with rotations of the form (*) x(t) + a(t)(Tx)(t) = b(t), where and are of the form (3) below. We prove that under some assumptions on analytic continuation of the given functions, (*) is a singular integral equation for m odd and is a Fredholm equation for m even. Further, we prove that T is an algebraic operator with characteristic polynomial . By means of the Riemann boundary value...
On the approximate solution of nonlinear singular integral equations with positive index.
On the Boundary Element Method for Some Nonlinear Boundary Value Problems.
On the Functional--integral Equation of Volterra Type With Weakly Singular Kernel
On the global solvability of the Cauchy problem for singular functional differential equations.
On the nonexistence of positive solution of some singular nonlinear integral equations.
On the number of solutions of some integral equations arising in radiative transfer.
On the oscillatory properties of the solutions of a class of integro- differential equations of neutral type.
On the Volterra integral equation with weakly singular kernel
We give sufficient conditions for the existence of at least one integrable solution of equation . Our assumptions and proofs are expressed in terms of measures of noncompactness.
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