Results 301 to 310 of about 2,088,895 (372)
Fractional modeling and numerical investigations of COVID-19 epidemic model with non-singular fractional derivatives: a case study. [PDF]
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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
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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
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Linear Differential Equations [PDF]
, 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
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Linear Differential Equations [PDF]
, 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
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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
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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
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, 1970
In a previous paper [1], the conventional optimal linear regulator theory was extended to accommodate the case of external input disturbances \omega(t) which are not directly measurable but which can be assumed to satisfy d^{m+1}\omega(t)/dt^{m+1} = 0 ...
C. Johnson
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In a previous paper [1], the conventional optimal linear regulator theory was extended to accommodate the case of external input disturbances \omega(t) which are not directly measurable but which can be assumed to satisfy d^{m+1}\omega(t)/dt^{m+1} = 0 ...
C. Johnson
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The Use of Volterra Series to Find Region of Stability of a Non-linear Differential Equation†
, 1965This report discusses a special problem which illustrates a new approach for discussing stability of non-linear systems under arbitrary input disturbances.
J. Barrett
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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
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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