Euler Type Half-Linear Differential Equation with Periodic Coefficients
نویسندگان
چکیده
منابع مشابه
Conditional 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 کاملNon-oscillation of perturbed half-linear differential equations with sums of periodic coefficients
*Correspondence: [email protected] Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, Brno, 611 37, Czech Republic Abstract We investigate perturbed second order Euler type half-linear differential equations with periodic coefficients and with the perturbations given by the finite sums of periodic functions which do not need to have any common period. Our main interest ...
متن کاملSolutions of Riemann–weber Type Half-linear Differential Equation
We establish an asymptotic formula for a pair of linearly independent solutions of the subcritical Riemann–Weber type half-linear differential equation. We also complement the results of the author and M. Ünal, Acta Math. Hungar. 120 (2008), 147–163, where the equation was considered in the critical case.
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 کاملAsymptotic Formulas for Solutions of Half-linear Euler-weber Equation
p−1 p p−1 . This equation is a special case of a general half-linear second order differential equation (r(t)Φ(x′))′ + c(t)Φ(x) = 0, (2) where Φ(x) := |x| sgn x, p > 1, and r, c are continuous functions, r(t) > 0 (in the studied equation (1) we have r(t) ≡ 1). Let us recall that similarly as in the linear case, which is a special case of (2) for p = 2 and equation (2) then reduces to the linear...
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: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/714263