Integral conditions of oscillation of a linear differential equation
Integral control of infinite-dimensional systems in the presence of hysteresis: an input-output approach
This paper is concerned with integral control of systems with hysteresis. Using an input-output approach, it is shown that application of integral control to the series interconnection of either (a) a hysteretic input nonlinearity, an L2-stable, time-invariant linear system and a non-decreasing globally Lipschitz static output nonlinearity, or (b) an L2-stable, time-invariant linear system and a hysteretic output nonlinearity, guarantees, under certain assumptions, tracking of constant reference...
Integral criteria for second-order linear oscillation.
Integral criteria of oscillation for a third order linear differential equation
Integral equations and exponential trichotomy of skew-product flows.
Integral equations with contrasting kernels.
Integral equivalence between a nonlinear system and its nonlinear perturbation
Integral Equivalence of Two Systems of Differential Equations
Si studia l'equivalenza asintotica fra le soluzioni di un sistema lineare e quelle di una perturbazione non lineare. Vengono date condizioni sufficienti per l'esistenza di un omeomorfìsmo fra le soluzioni limitate di tali sistemi.
Integral equivalence of two systems of differential equations
Integral manifold of the parabolic differential equation with deviating argument
Integral Manifolds and Bounded Solutions of Singularly Perturbed Systems of Impulsive Differential Equations
Sufficient conditions for the existence of bounded solutions of singularly perturbed impulsive differential equations are obtained. For this purpose integral manifolds are used.
Integral manifolds and nonlinear oscillations
Integral Manifolds and Perturbations of the Nonlinear Part of Systems of Autonomous Differential Equations with Impulses at Fixed Moments
* This investigation was supported by the Bulgarian Ministry of Science and Education under Grant MM-7.Sufficient conditions are obtained for the existence of local integral manifolds of autonomous systems of differential equations with impulses at fixed moments. In case of perturbations of the nonlinear part an estimate of the difference between the manifolds is obtained.
Integral manifolds of impulsive differential equations.
Integral Perturbations of Nonlinear Systems of Differential Equations
Integral properties of coefficients of the 2 order linear differential equations having the same distribution of zeros of solutions
Integral representation of a solution of Heun's general equation.
Integral representation of solutions to boundary-value problems on the half-line for linear ODEs with singularity of the first kind.
Integral representation of the solutions to Heun's biconfluent equation.
Integral representations of bounded harmonic functions