Original title unknown
Periodic and asymptotically periodic solutions of neutral integral equations.
Periodic solutions of neutral delay integral equations of advanced type.
Positive solutions of a renewal equation
An existence theorem is proved for the scalar convolution type integral equation .
Quotients, ranges, and normal solvability of maximal monotone operators.
Remark on some conformally invariant integral equations: the method of moving spheres
Singular Cauchy initial value problem for certain classes of integro-differential equations.
Solutions for singular Volterra integral equations.
Strong solutions of quasilinear integro-differential equations with singular kernels in several space dimensions.
The approximate solution of nonlinear singular integro-differential equations.
This paper concerns the sufficient conditions for the applicability of the Newton-Kantorovich method to nonlinear singular integro-differential equation with Hilbert Kernel.
Theoretical and numerical study of a free boundary problem by boundary integral methods
In this paper we study a free boundary problem appearing in electromagnetism and its numerical approximation by means of boundary integral methods. Once the problem is written in a equivalent integro-differential form, with the arc parametrization of the boundary as unknown, we analyse it in this new setting. Then we consider Galerkin and collocation methods with trigonometric polynomial and spline curves as approximate solutions.
Theoretical and numerical study of a free boundary problem by boundary integral methods
In this paper we study a free boundary problem appearing in electromagnetism and its numerical approximation by means of boundary integral methods. Once the problem is written in a equivalent integro-differential form, with the arc parametrization of the boundary as unknown, we analyse it in this new setting. Then we consider Galerkin and collocation methods with trigonometric polynomial and spline curves as approximate solutions.
Uniqueness of solutions to an Abel type nonlinear integral equation on the half line
We consider a convolution-type integral equation u = k ⋆ g(u) on the half line (−∞; a), a ∈ ℝ, with kernel k(x) = x α−1, 0 < α, and function g(u), continuous and nondecreasing, such that g(0) = 0 and 0 < g(u) for 0 < u. We concentrate on the uniqueness problem for this equation, and we prove that if α ∈ (1, 4), then for any two nontrivial solutions u 1, u 2 there exists a constant c ∈ ℝ such that u 2(x) = u 1(x +c), −∞ < x. The results are obtained by applying Hilbert projective metrics....
Upper bound for the number of eigenvalues for nonlinear operators (Preliminary communication)
Метод монотонности и приближенное вычисление значения нелинейного неограниченного оператора.
Метод Шeфера в теории интегральных уравнений Гаммерштейна
О нелинейных интегральных уравнениях, играющих роль в теории уравнений Винера- Хопфа. II
О нелинейных интегральных уравнениях, играющих роль в теории уравнений Винера- Хопфа. I
О нормальной разрешимости сингулярных интегральных операторов в симметричных пространствах
Об оптимальных алгоритмах решения нелинейных неустойчивых задач.