On boundary value problems of periodic type for ordinary odd order differential equations
On differential operators with integral conditions.
On extremal solutions to infinite dimensional non-linear second order systems
On random boundary value problems for ordinary differential equations
On the existence of periodic boundary conditions for certain nonlinear vector differential equations
On the generalized Riccati matrix differential equation. Exact, approximate solutions and error estimate
In this paper explicit expressions for solutions of Cauchy problems and two-point boundary value problems concerned with the generalized Riccati matrix differential equation are given. These explicit expressions are computable in terms of the data and solutions of certain algebraic Riccati equations related to the problem. The interplay between the algebraic and the differential problems is used in order to obtain approximate solutions of the differential problem in terms of those of the algebraic...
Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method
We consider the inverse nodal problem for Sturm-Liouville (S-L) equation with frozen argument. Asymptotic behaviours of eigenfunctions, nodal parameters are represented in two cases and numerical algorithms are produced to solve the given problems. Subsequently, solution of inverse nodal problem is calculated by the second Chebyshev wavelet method (SCW), accuracy and effectiveness of the method are shown in some numerical examples.
Transformations of linear second order ordinary differential equations
Traveling wave fronts in spatially discrete reaction-diffusion equations on higher-dimensional lattices.
Travelling wave solutions for the Painlevé-integrable coupled KdV equations.
Two notions which affected nonlinear analysis (Bernard Bolzano lecture)
General mathematical theories usually originate from the investigation of particular problems and notions which could not be handled by available tools and methods. The Fučík spectrum and the -Laplacian are typical examples in the field of nonlinear analysis. The systematic study of these notions during the last four decades led to several interesting and surprising results and revealed deep relationship between the linear and the nonlinear structures. This paper does not provide a complete survey....
Алгебраико-дифферециальные преобразования линейных дифференциальных операторов любого порядка и их спектральные свойства, применимые в обратной задаче
Краевая задача с параметрами для дифференциальных уравнений сверхнейтрального типа
Краевые задачи для нерегулярных систем дифференциальных уравнений на полуплоскости в классе обобщенных функций и функций полиномиального роста
Уравнение множеств достижимости.