Frontiers

Basic Control Theory for Linear Fractional Differential Equations With Constant Coefficients

1 Departamento de Estadística, Análisis Matemático y Optimización, Universidade de Santiago de Compostela, Santiago de Compostela, Spain 2 Instituto de Matemáticas, Universidade de Santiago de ...
IEEE

The Hyers-Ulam Stability for High-Order Linear Differential Equations with Constant Coefficients

Abstract: There are many problems in engineering can be reflected by linear ordinary differential equation with constant coefficients. If a differential equation has the Hyers-Ulam stability, then it ...
JSTOR Daily

Unpredictable solutions of quasilinear differential equations with generalized piecewise constant arguments of mixed type

Carpathian Journal of Mathematics, Vol. 39, No. 1 (2023), pp. 265-280 (16 pages) An unpredictable solution is found for a quasilinear differential equation with generalized piecewise constant argument ...
JSTOR Daily

Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients

Let A, B be n × n matrices, f a vector-valued function. A and B may both be singular. The differential equation Ax' + Bx = f is studied utilizing the theory of the Drazin inverse. A closed form for ...
Scientific Research Publishing

Laplace Transform, Non-Constant Coefficients Differential Equations and Applications to Riccati Equation ()

In this paper, the Laplace Transform is used to find explicit solutions of a fam-ily of second order Differential Equations with non-constant coefficients. For some of these equations, it is possible ...