Results 291 to 300 of about 2,090,917 (350)

Linear Differential Equations

2017
In this chapter we obtain corresponding results to those in Chapter 3 for continuous time. More precisely, we study in detail the class of Lyapunov exponents defined by the solutions of a nonautonomous linear equation. In particular, we obtain lower and upper bounds for the Grobman coefficient.
Giampiero Esposito
semanticscholar   +5 more sources

Linear Differential Equations [PDF]

open access: possible, 1992
Let us consider the n-th order linear differential equation $$L\left[ y \right] = {y^{\left( n \right)}} + {a_1}{y^{\left( {n - 1} \right)}} + \ldots + {a_{n - 1}}y' + {a_n}y = f$$ where a l, a 2,..., a n, f ∈ C([a,b]) are given.
Paraschiva Pavel, Gheorghe Micula
openaire   +1 more source

Linear differential equations

2009
Linear differential equations are simpler in many respects. The truth of this statement is already obvious from the fact that their solution spaces possess the structure of a vector space. Thus it is not surprising that some of our previous results may be improved in this special case.
Richard Bronson, Gabriel B. Costa
openaire   +3 more sources

Linear Differential Equations [PDF]

open access: possible, 2014
For linear differential equations, the structures of solution spaces are characterized and solution formulas are derived in terms of fundamental matrix solutions. The calculations of fundamental matrix solutions are studied for the constant coefficient case and the Floquet theory is presented for the periodic coefficient case.
Eugene P. Ryan, Hartmut Logemann
openaire   +3 more sources

Linear Differential Equations

2016
In this chapter we deal with some basic facts concerning ordinary linear differential equations in the analytic domain, culminating in Fuchs’ theory on regular singular points.
Gautam Sarkar   +2 more
openaire   +4 more sources

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