On certain Heun functions, associated functions of discrete variables, and applications.
On convergence of quadrature-differences method for linear singular integro-differential equations on the interval
Here we propose and justify the quadrature-differences method for the full linear singular integro-differential equations with Cauchy kernel on the interval . We consider equations of zero, positive and negative indices. It is shown, that the method converges to exact solution and the error estimate depends on the sharpness of derivative approximation and the smoothness of the coefficients and the right-hand side of the equation.
On convergence of the polynomial collocation method for singular integral equations and periodic pseudodifferential equations.
On discrete approximations for a class of linear functional differential equations
On dissipative phenomena of the interaction of Hamiltonian systems.
On dual integral equations arising in problems of bending of anisotropic plates.
On dual integral equations with Hankel kernel and an arbitrary weight function.
On empirical stochastic regularization
On exact null controllability of Black-Scholes equation
In this paper we discuss the exact null controllability of linear as well as nonlinear Black–Scholes equation when both the stock volatility and risk-free interest rate influence the stock price but they are not known with certainty while the control is distributed over a subdomain. The proof of the linear problem relies on a Carleman estimate and observability inequality for its own dual problem and that of the nonlinear one relies on the infinite dimensional Kakutani fixed point theorem with ...
On exact solutions of a degenerate quasilinear wave equation with source term.
On existence of extremal solutions of nonlinear functional integral equations in Banach algebras.
On existence of solutions of a neutral differential equation with deviation argument.
On Fredholm integral equations with random degenerate kernels
On Fredholm-Stieltjes integral equations (Preliminary communication)
On fuzzy Volterra integral equations with deviating arguments.
On generalized d'Alembert functional equation.
Let G be a locally compact group. Let σ be a continuous involution of G and let μ be a complex bounded measure. In this paper we study the generalized d'Alembert functional equationD(μ) ∫G f(xty)dμ(t) + ∫G f(xtσ(y))dμ(t) = 2f(x)f(y) x, y ∈ G;where f: G → C to be determined is a measurable and essentially bounded function.
On global attractivity of solutions of a functional-integral equation.
On Hammerstein equations with natural growth conditions.
On infinite systems of Volterra integral equations in Banach spaces
On integral equations in a Banach space