LAUSR

Linear Systems of Differential Equations

Sign Up to like & get
recommendations!
0 Published in 2019 at "Differential Equations"

DOI: 10.1007/978-3-030-20506-5_3

Abstract: In Sect. 1.1, we considered how the amount of salt present in a system of two tanks can be modeled through a system of differential equations. read more here.

Keywords: systems differential; linear systems; equations linear; differential equations ... See more keywords

Norm form equations and linear divisibility sequences

Sign Up to like & get
recommendations!
0 Published in 2021 at "International Journal of Number Theory"

DOI: 10.1142/s1793042122500634

Abstract: Finding integer solutions to norm form equations is a classical Diophantine problem. Using the units of the associated coefficient ring, we can produce sequences of solutions to these equations. It is known that these solutions… read more here.

Keywords: norm form; equations linear; linear divisibility; form equations ... See more keywords

Basic theory of differential equations with linear perturbations of second type on time scales

Sign Up to like & get
recommendations!
1 Published in 2019 at "Boundary Value Problems"

DOI: 10.1186/s13661-019-01301-7

Abstract: In this paper, we develop the theory of differential equations with linear perturbations of second type on time scales. An existence theorem for differential equations with linear perturbations of second type on time scales is… read more here.

Keywords: perturbations second; time scales; equations linear; time ... See more keywords

On a new class of constitutive equations for linear viscoelastic body

Sign Up to like & get
recommendations!
1 Published in 2017 at "Fractional Calculus and Applied Analysis"

DOI: 10.1515/fca-2017-0027

Abstract: Abstract We study a viscoelastic body involving a constitutive equation with distributed order fractional derivatives of complex order. Using a dissipation inequality in a weak form, we derive a sufficient conditions on coefficients of a… read more here.

Keywords: new class; viscoelastic body; equations linear; class constitutive ... See more keywords

Large Time Decay Rates of the 2D Micropolar Equations with Linear Velocity Damping

Sign Up to like & get
recommendations!
2 Published in 2023 at "Mathematics"

DOI: 10.3390/math11102311

Abstract: This paper studies the large time behavior of solutions to the 2D micropolar equations with linear damping velocity. It is proven that the global solutions have rapid time decay rates ∥∇ω∥L2+∥∇u∥L2≤C(1+t)−32 and ∥u∥L2≤C(1+t)−32,∥ω∥L2≤C(1+t)−1. The findings… read more here.

Keywords: equations linear; time; decay rates; time decay ... See more keywords