On the discretization of degenerate sweeping processes.
On the dispersion structure of the differential equation y"=q(t)y having in the generalized Floquet theory the same characteristic multipliers
On the distribution of zeros of solutions of some types of differential equation
On the envelope of a vector field
Given a vector field X on an algebraic variety V over ℂ, I compare the following two objects: (i) the envelope of X, the smallest algebraic pseudogroup over V whose Lie algebra contains X, and (ii) the Galois pseudogroup of the foliation defined by the vector field X + d/dt (restricted to one fibre t = constant). I show that either they are equal, or the second has codimension one in the first.
On the equation
On the equation x”(t) = F(t, x(t)) in the Sobolev space
On the ersatz material approximation in level-set methods
The level set method has become widely used in shape optimization where it allows a popular implementation of the steepest descent method. Once coupled with a ersatz material approximation [Allaire et al., J. Comput. Phys.194 (2004) 363–393], a single mesh is only used leading to very efficient and cheap numerical schemes in optimization of structures. However, it has some limitations and cannot be applied in every situation. This work aims at exploring such a limitation. We estimate the systematic...
On the existence and boundedness of solutions of a nonlinear delay differential system
On the existence and uniqueness of periodic solutions for difference equations of second order
On the existence and uniqueness of solutions of systems of differential equations with a deviated argument
On the existence of a bounded solution of a non-linear differential equation
On the existence of almost periodic Lyapunov functions for impulsive differential equations.
On the existence of conjugate points for linear differential systems
On the existence of continuous solutions of operator equations in Banach spaces
On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination.
On the existence of mild solutions to some semilinear fractional integro-differential equations.
On the existence of monotone solutions for second-order non-convex differential inclusions in infinite dimensional 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 and eventually periodic solutions of a fluid dynamic forced harmonic oscillator.
On the existence of periodic boundary conditions for certain nonlinear vector differential equations