STABILITY OF PARABOLIC EQUATIONS WITH UNBOUNDED OPERATORS ACTING ON DELAY TERMS
Küçük Resim Yok
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Texas State Univ
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this article, we study the stability of the initial value problem for the delay differential equation dv(t)/dt broken vertical bar Av(t) = B(t)v(t - w) broken vertical bar f(t), t >= 0, v(t) = g(t) (-w <= t <= 0) in a Banach space E with the unbounded linear operators A and B(t) with dense domains D(A) subset of D(B(t)). We establish stability estimates for the solution of this problem in fractional spaces E-alpha. Also we obtain stability estimates in Holder norms for the solutions of the mixed problems for delay parabolic equations with Neumann condition with respect to space variables.
Açıklama
Anahtar Kelimeler
Delay Parabolic Equation, Stability Estimate, Fractional Space, Holder Norm, Differential Equations, Numerical-Methods, Well-Posedness
Kaynak
Electronic Journal Of Differential Equations
WoS Q Değeri
Q3
