Erratum to “Stochastic explosion and non-uniqueness for α-Riccati equation” [J. Math. Anal. Appl. 476 (1) (2019) 53–85]
نویسندگان
چکیده
An error occurs in a part of the statement and proof Proposition 2.2 paper “Stochastic explosion non-uniqueness for α-Riccati equation” [J. Math. Anal. Appl. 476 (2019) 53–85] that is corrected this erratum. The revised result reveals new unexpected critical phenomena, having further implications solutions to nonlinear differential equation Riccati type.
منابع مشابه
A Riccati Equation for Stochastic
In this note we report on a new kind of algebraic Ric-cati equation which we encountered when studying an H 1 type problem of disturbance attenuation for stochastic linear systems. The same equation occurs in the analysis of stability radii of linear systems with both deterministic and stochastic uncertainties. The associated linear matrix inequality is also considered.
متن کاملUniqueness and Absolute Continuity of Weak Solutions for Parabolic Spde's, Acta Appl. Math. (to Appear)
Absolute continuity of measures generated by solutions of SPDE's, (to appear) Sh] N. Shikamura, Partial diierential operators of elliptic type , AMS Transl. 9 (see e.g. Ro]). This implies in particular that u 1 (t) = u 2 (t) and the uniqueness is proved.
متن کاملSmoluchowski's Coagulation Equation: Uniqueness, Non-uniqueness and a Hydrodynamic Limit for the Stochastic Coalescent
Sufficient conditions are given for existence and uniqueness in Smoluchowski’s coagulation equation, for a wide class of coagulation kernels and initial mass distributions. An example of non-uniqueness is constructed. The stochastic coalescent is shown to converge weakly to the solution of Smoluchowski’s equation.
متن کاملErratum to "Lacunary statistical convergence of multiple sequences" [Appl. Math. Lett. 19(2006) 527-534]
(1) On page 529: The statement “we will denote the set of all double lacunary sequences by Nθr,s ” should be removed. (2) On page 529: In Definition 2.4, the statement “for every ε > 0” should be removed. (3) On page 530: In the proof of (C), for all K should be replaced with for all k and l. (4) The references “Li, J. Lacunary statistical convergence and inclusion properties between lacunary m...
متن کاملErratum to: "Ruled surfaces with timelike rulings" [Appl. Math. Comput. 147: (2004) 241-253]
In this paper, using [E. Kasap, _ I. Aydemir, N. Kuruoğlu, Erratum to: ‘‘Ruled surfaces with timelike rulings’’ [Appl. Math. Comput. 147 (2004) 241–253], Applied Mathematics and Computation 168 (2005) 1461–1468 [2]], some mistakes which are related to the classification maximal ruled surfaces with timelike rulings in the last section of [Applied Mathematics and Computation 147 (2004) 241–253 [1...
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: Journal of Mathematical Analysis and Applications
سال: 2023
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2023.127420