Stability of a linear integro-differential equation with periodic coefficients
نویسندگان
چکیده
منابع مشابه
Absence of Eigenvalues for Integro-differential Operators with Periodic Coefficients
The absence of the point spectrum for some nonselfadjoint integrodifferential operators is investigated by applying perturbation theory methods. The considered differential operators could be of any order and are assumed to act in Lp(R+) or Lp(R) (1 ≤ p < ∞). Finally, as an application of general results, some spectral properties of the perturbed Hill operator are derived.
متن کاملA Pseudospectral Approximation to the Fundamental Matrix of a Linear Delay Differential Equation with Periodic Coefficients
The monodromy operator of a linear delay differential equation with periodic coefficients is formulated as an integral operator. The kernel of this operator includes a factor formed from the fundamental solution of the linear delay differential equation. Although the properties of the fundamental solutions are known, in general there is no closed form for the fundamental solution. This paper de...
متن کاملPeriodic solution for a delay integro-differential equation in biomathematics
Sufficient conditions for the existence and uniqueness of periodic solution of a delay integro-differential equation which arise in biomathematics are given. The results use a bidimensional variant of the Perov’s fixed point theorem. AMSMathematics Subject Classification: Primary 45J05, Secondary 34A12, 65R20, 65D32.
متن کاملThe Stability of Differential Equations with Periodic Coefficients.
1 Am. J. Math.,, 47, 140-147 (1925). 2 Mitchell, H. H., Trans. Am. Math. Soc., 17, 167 (1916). 3 Vandiver, H. S., these PROCEEDINGS, 28, 25 (1942). 4 Hilbert, D., Gesammelte Abhandlungen, Bd. I, Berlin, Springer (1932), pp. 199, 203. 5The derivations of the formulas (12)-(20) which follow resemble some of the steps in our previous paper,' but from then on the treatment is a bit different. 6 Van...
متن کاملConditional Oscillation of Half-linear Differential Equations with Periodic Coefficients
We show that the half-linear differential equation (∗) [ r(t)Φ(x′) ]′ + s(t) tp Φ(x) = 0 with α-periodic positive functions r, s is conditionally oscillatory, i.e., there exists a constant K > 0 such that (∗) with γs(t) tp instead of s(t) tp is oscillatory for γ > K and nonoscillatory for γ < K.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1996
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1417227