Lyapunov-type inequality for quasilinear systems

Lyapunov type inequalities and their applications for quasilinear impulsive systems

“…Corollary 2.7: Assume that the condition (3) holds. Let p j and q j be conjugate numbers for p j and q j , j = 1, 2, respectively, α = θ and β = γ and (e 1 , e 2 ) be a nontrivial solution of the homogenous system (19). Suppose that (23)…”

“…The half linear version of Lyapunov inequality was obtained in [5][6][7][8][9]. To the best of our knowledge, although many results have been obtained for quasilinear systems [10][11][12][13][14][15][16][17][18][19][20][21][22][23], there is little known for the impulsive quasilinear systems [24]. Although there is a large body of literature on quasilinear systems that we can not cover completely, the results in [10,11,24] and in [22] are worth mentioning due to their contribution to these subject.…”