Linear differential equations of the 2nd order whose principal solution has unbounded logarithmic derivative
Linear differential equations of the second order with elementary basic central dispersions
Linear differential equations with coefficients in a field I.
Linear differential equations with measures as coefficients and the control theory
Linear differential equations with Newton-integrable coefficients
Linear differential equations with quasiperiodic coefficients
Linear differential equations with several unbounded delays
Linear differential equations with unbounded delays and a forcing term.
Linear differential Lappo-Danilevskii systems
Linear differential Lappo-Danilevskii systems
The class of linear differential systems with coefficient matrices which are commutative with their integrals is considered. The results on asymptotic equivalence of these systems and their distribution among linear systems are given.
Linear differential transformations of the 2nd order as a representation of an abstract model
Linear Differential Transformations of the Second Order [Book]
Linear distributional differential equations in the space of regulated functions
In the paper existence and uniqueness results for the linear differential system on the interval [0,1] with distributional coefficients and solutions from the space of regulated functions are obtained.
Linear distributional differential equations of the second order
The paper deals with the linear differential equation (0.1) with distributional coefficients and solutions from the space of regulated functions. Our aim is to get the basic existence and uniqueness results for the equation (0.1) and to generalize the known results due to F. V. Atkinson [At], J. Ligeza [Li1]-[Li3], R. Pfaff ([Pf1], [Pf2]), A. B. Mingarelli [Mi] as well as the results from the paper [Pe-Tv] concerning the equation (0.1).
Linear FDEs in the frame of generalized ODEs: variation-of-constants formula
We present a variation-of-constants formula for functional differential equations of the form where is a bounded linear operator and is a regulated function. Unlike the result by G. Shanholt (1972), where the functions involved are continuous, the novelty here is that the application is Kurzweil integrable with in an interval of , for each regulated function . This means that may admit not only many discontinuities, but it can also be highly oscillating and yet, we are able to obtain...
Linear fractionally damped oscillator.
Linear functional differential equations possessing solutions with a given growth rate.
Linear impulsive dynamic systems on time scales.
Linear ODEs and -modules, solving and decomposing equations using symmetry methods.
Linear parabolic equations in Banach spaces with variable domains but constant interpolation spaces