19 citations · 21 across the 7 of their papers we have counts for
8 papers
Nonlinear Higher-Order Dynamic Equation with Polynomial Growth and Mixed Boundary Conditions
Shalmali Bandyopadhyay, Svetlin G. Georgiev
This paper investigates the existence of solutions for a class of nonlinear higher-order dynamic equations subject to mixed boundary conditions. We consider boundary value problems…
Bounded and exponentially decaying solutions of almost linear dynamic systems on time scales
Svetlin Georgiev, Sergey Kryzhevich
We consider small nonlinear perturbations of linear systems on a time scale with the phase space being finite or infinite-dimensional. For -differential operators, corresponding…
Linear Time-Varying Dynamic-Algebraic Equations of Index on Time Scales
Svetlin Georgiev, Sergey Kryzhevich
In this paper, we introduce a class of linear time-varying dynamic-algebraic equations(LTVDAE) of tractability index on arbitrary time scales. We propose a procedure for t…
Linear Time-Varying Dynamic-Algebraic Equations of Index One on Time Scales
Svetlin G. Georgiev, Sergey Kryzhevich
In this paper, we introduce a class of linear time-varying dynamic-algebraic equations(LTVDAE) of tractability index one on arbitrary time scales. We propose a procedure for the de…
Existence of solutions for a class of IBVP for nonlinear hyperbolic equations
Svetlin Georgiev Georgiev, Mohamed Majdoub
We study a class of initial boundary value problems of hyperbolic type. A new topological approach is applied to prove the existence of non-negative classical solutions. The argume…
Two Dimensional Integral Inequalities on Time Scales
Svetlin G. Georgiev, Goverdan Khadekar, Praveen Kumar
In this paper, we formulate and prove Wendroff's inequalities on time scales. Next, we deduct some of Pachpatte's inequalities.
Classical Solutions for a Class of Burgers Equation
Svetlin G. Georgiev, Gal Davidi
In this paper we consider a class of Burgers equation. We propose a new method of investigation for existence of classical solutions.
Existence and Smoothness of Navier-Stokes Equations
Svetlin G. Georgiev, Gal Davidi
In this paper we propose new method for proving of global solutions for 3D Navier-Stokes equations. This complies an application to the Clay Institute Millennium Prize Navier Stoke…