Linear differential Lappo-Danilevskii systems
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
Linear perturbations of a constant coefficient differential equation subject to mild integral smallness conditions
Linear perturbations of differential systems with constant matrices
Linear perturbations of general disconjugate equations
Linear positive operators and their applications to differential equations
Linear problems for systems of difference equations
Linear random boundary value problems containing weakly correlated forcing functions.
Linear second order differential equations with discontinuous coefficients in Hilbert spaces
Linear Singular Parabolic Equations in Banach Spaces.
Linear Stability of Fractional Reaction - Diffusion Systems
Theoretical framework for linear stability of an anomalous sub-diffusive activator-inhibitor system is set. Generalized Turing instability conditions are found to depend on anomaly exponents of various species. In addition to monotonous instability, known from normal diffusion, in an anomalous system oscillatory modes emerge. For equal anomaly exponents for both species the type of unstable modes is determined by the ratio of the reactants' diffusion coefficients. When the ratio exceeds its normal...