Results 31 to 40 of about 378 (71)
Open Mathematics, 2019 It is shown that, if all weak solutions of the evolution ...
Markin Marat V.
doaj +1 more source
Quantified versions of Ingham's theorem [PDF]
, 2015 We obtain quantified versions of Ingham's classical Tauberian theorem and some of its variants by means of a natural modification of Ingham's own simple proof.
Chill, Ralph, Seifert, David
core +2 more sources
The Frobenius method on a second-order homogeneous linear ODEs
, 2014 In this paper, we show that the one solution of the second-order homogeneous linear differential equation can be obtained by using the method of Frobenius.
P. Haarsa, S. Pothat
semanticscholar +1 more source
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1007-1018, 2004., 2004 In the class of scalar type spectral operators in a complex Banach space, a characterization of the generators of analytic C0‐semigroups in terms of the analytic vectors of the operators is found.
Marat V. Markin
wiley +1 more source
Singular degenerate problems occurring in biosorption process
Boundary Value Problems, 2013 The boundary value problems for singular degenerate arbitrary order differential-operator equations with variable coefficients are considered. The uniform coercivity properties of ordinary and partial differential equations with small parameters are ...
Aida Sahmurova, V. Shakhmurov
semanticscholar +2 more sources
Lyapunov theorems for Banach spaces
, 1993 We present a spectral mapping theorem for semigroups on any Banach space $E$. From this, we obtain a characterization of exponential dichotomy for nonautonomous differential equations for $E$-valued functions.
Latushkin, Yuri +1 more
core +4 more sources
An inverse problem for a second‐order differential equation in a Banach space
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 997-1005, 2004., 2004 We consider the problem of determining the unknown term in the right‐hand side of a second‐order differential equation with unbounded operator generating a cosine operator function from the overspecified boundary data. We obtain necessary and sufficient conditions of the unique solvability of this problem in terms of location of the spectrum of the ...
Y. Eidelman
wiley +1 more source
Abstract and Applied Analysis, Volume 2004, Issue 10, Page 881-896, 2004., 2004 Let u be a given bounded uniformly continuous mild solution of a higher‐order abstract functional differential equation of delay or advance type. We give a so‐called Massera‐type criterion for the existence of a mild solution, which is a “spectral component” of u with spectrum similar to the one of the forcing term f.
Nguyen Van Minh, Ha Binh Minh
wiley +1 more source
Asymptotic parabolicity for strongly damped wave equations
, 2013 For $S$ a positive selfadjoint operator on a Hilbert space, \[ \frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of wave equations with strong friction or damping if $F$ is a positive Borel function.
Fragnelli, Genni +3 more
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