Asymptotic behavior of solutions of a functional equation [PDF]
Proceedings of the American Mathematical Society, 1961 in the presence of appropriate auxiliary hypotheses. We show that the result is not valid without some additional hypothesis; and that either measurability of f or boundedness of f on an appropriate set of intervals is adequate. In the presence of auxiliary hypotheses, the requirement that (1) hold for all s is apt to be unnecessarily strong. Theorem 1
Blum, J. R., Norris, M. J., Wing, G. M.
openaire +2 more sources
On the Asymptotic Behavior of a Fundamental Set of Solutions [PDF]
Transactions of the American Mathematical Society, 1979 We consider n th order homogeneous linear ordinary differential equations whose coefficients have an asymptotic expansion as x
openaire +1 more source
On the asymptotic behavior of the solutions to parabolic variational inequalities [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2020 Abstract We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variational inequalities, with non-smooth constraint, and prove that they satisfy a new constrained Łojasiewicz inequality. The difficulty lies in the fact that, since the constraint is non-analytic, the pioneering method of L.
Colombo, Maria +2 more
openaire +7 more sources
Asymptotic Behavior of Solutions to the Diffusion Equation
Indian Journal of Pure and Applied Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Engu, Satyanarayana +2 more
openaire +1 more source
Asymptotic behavior of $T$-periodic solutions of singularly perturbed second-order differential equation [PDF]
, 1996 summary:We examine the asymptotic behavior of $T$-periodic solutions of the singularly perturbed differential equation $y"=f(t,y)$ as a small parameter $\u$ tends to ...
Vrábeľ, Róbert
core +1 more source
Asymptotic behavior of solutions of neutral nonlinear differential equations [PDF]
, 2002 summary:In this paper we study asymptotic behavior of solutions of second order neutral functional differential equation of the form \[ \Big (x(t)+px(t-\tau )\Big )^{\prime \prime }+f(t,x(t))=0\,.
Džurina, Jozef
core +1 more source
Qualitative approximation of solutions to difference equations of various types
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper we study the asymptotic behavior of solutions to difference equations of various types. We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior, and establish some results concerning ...
Janusz Migda
doaj +1 more source
An elementary proof of asymptotic behavior of solutions of U" = VU [PDF]
, 2017 summary:We provide an elementary proof of the asymptotic behavior of solutions of second order differential equations without successive approximation ...
Metafune, Giorgio, Sobajima, Motohiro
core +1 more source
Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations [PDF]
, 1999 summary:The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear difference equation of the form \[ \Delta (a_n \Delta ^{m-1} y_n) + p_n \Delta ^{m-1} y_n + q_n f(y_{\sigma (n+m-1)}) = 0 \] where $m$ is even, is studied ...
Thandapani, E., Arul, R.
core +1 more source
On the asymptotic behavior of solutions to a structural acoustics model
Journal of Differential Equations, 2023 This article concerns the long term behavior of solutions to a structural acoustic model consisting of a semilinear wave equation defined on a smooth bounded domain $Ω\subset\mathbb{R}^3$ which is coupled with a Berger plate equation acting on a flat portion of the boundary of $Ω$.
FENG, BAOWEI +2 more
openaire +3 more sources