On a class of initial-boundary value problems in a domain with boundary containing isolated points
On a class of mixed boundary value problems for linear hyperbolic equations
On a functional differential equation arising in the theory of the distribution of wealth.
On a nonlocal Ostrovsky-Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability.
On a Whitham-type equation.
On closed-form solutions of some nonlinear partial differential equations.
On exact solutions of a degenerate quasilinear wave equation with source term.
On explicit and numerical solvability of parabolic initial-boundary value problems.
On generalized heat polynomials.
On Maximal Functions and Parabolic Limits.
On second order nonlinear equations with rectilinear characteristics.
On some classes of linear equations. IV.
On symmetries and invariant solutions of a coupled KdV system with variable coefficients.
On the analytical and numerical treatment of a class of PDE's with the application to some two-valley semiconductor.
On the approximation of real continuous functions by series of solutions of a single system of partial differential equations
We prove the existence of an effectively computable integer polynomial P(x,t₀,...,t₅) having the following property. Every continuous function can be approximated with arbitrary accuracy by an infinite sum of analytic functions , each solving the same system of universal partial differential equations, namely (σ = 1,..., s).
On the instability of a class of periodic travelling wave solutions of the modified Boussinesq equation.
On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method
In this paper, we apply the Fractional Adams-Bashforth-Moulton Method for obtaining the numerical solutions of some linear and nonlinear fractional ordinary differential equations. Then, we construct a table including numerical results for both fractional differential equations. Then, we draw two dimensional surfaces of numerical solutions and analytical solutions by considering the suitable values of parameters. Finally, we use the L2 nodal norm and L∞ maximum nodal norm to evaluate the accuracy...
On the representation of non-negative solutions of linear parabolic systems of partial differential equations
On the solution of boundary value problems for linear parabolic equations of higher order
On the solutions of Knizhnik-Zamolodchikov system
We consider the Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions. We prove that under some conditions the solution of the KZ system is rational too. We give the method of constructing the corresponding rational solution. We deduce the asymptotic formulas for the solution of the KZ system when the parameter ρ is an integer.