On the discrete kinetic theory for active particles. Modelling the immune competition.
On the equation
On the equation x”(t) = F(t, x(t)) in the Sobolev space
On the existence and boundedness of solutions of a nonlinear delay differential system
On the existence and uniqueness of solutions of systems of differential equations with a deviated argument
On the existence of continuous solutions of operator equations in Banach spaces
On the Existence of Oscillatory Solutions of the Second Order Nonlinear ODE
The paper investigates the singular initial problem[4pt] [4pt] on the half-line . Here , where , and are zeros of , which is locally Lipschitz continuous on . Function is continuous on , has a positive continuous derivative on and . Function is continuous on and positive on . For specific values we prove the existence and uniqueness of damped solutions of this problem. With additional conditions for , and it is shown that the problem has for each specified a unique...
On the existence of periodic boundary conditions for certain nonlinear vector differential equations
On the existence of solutions and one-step method for functional-differential equations with parameters
On the existence of solutions of differential equations of retarded type in a Banach space
On the existence of solutions of operator-differential equations
On the existence of solutions of the singular Cauchy problem for systems of differential equations not solved with respect to the derivatives.
On the Factorization of the Poincaré Polynomial: A Survey
2000 Mathematics Subject Classification: 13P05, 14M15, 14M17, 14L30.Factorization is an important and very difficult problem in mathematics. Finding prime factors of a given positive integer n, or finding the roots of the polynomials in the complex plane are some of the important problems not only in algorithmic mathematics but also in cryptography.
On the growth of meromorphic solutions of linear and algebraic differential equations.
On the method of upper and lower solutions in abstract cones
On the nonlocal Cauchy problem for semilinear fractional order evolution equations
In this paper, we develop the approach and techniques of [Boucherif A., Precup R., Semilinear evolution equations with nonlocal initial conditions, Dynam. Systems Appl., 2007, 16(3), 507–516], [Zhou Y., Jiao F., Nonlocal Cauchy problem for fractional evolution equations, Nonlinar Anal. Real World Appl., 2010, 11(5), 4465–4475] to deal with nonlocal Cauchy problem for semilinear fractional order evolution equations. We present two new sufficient conditions on existence of mild solutions. The first...
On the opial type criterion for the well-posedness of the Cauchy problem for linear systems of generalized ordinary differential equations
The Cauchy problem for the system of linear generalized ordinary differential equations in the J. Kurzweil sense , with a unique solution is considered....
On the question of generalized solution to algebro-differential systems.
On the solution of certain non-linear differential equations of the third order
On the solvability of singular BVPs for second-order ordinary differential equations