Asymptotic Integration of Perturbed Linear Differential Equations under Conditions Involving Ordinary Integral Convergence
Copyright policy )Asymptotic Integration of Perturbed Linear Differential Equations under Conditions Involving Ordinary Integral Convergence
Asymptotic integration of a linear differential equation \[ x^{(n)}+[a_ 1+p_ 1(t)]x^{(n-1)}+...+[a_ n+p_ n(t)]x=0 \] is considered under conditions that the integrals \(\int^{\infty}p_ k(t)e^{ct}t^ qdt\) (where c and q are nonnegative constants) converge (perhaps relatively). The earlier classic conditions require absolute convergence of the mentioned integrals.
Perturbations, asymptotics of solutions to ordinary differential equations, constant coefficients, Linear ordinary differential equations and systems, asymptotic integration, linear perturbed equations, Banach contraction principle
Perturbations, asymptotics of solutions to ordinary differential equations, constant coefficients, Linear ordinary differential equations and systems, asymptotic integration, linear perturbed equations, Banach contraction principle
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!