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Displaying 741 – 760 of 1228

An asymptotic property of solutions to linear nonautonomous delay differential equations.

Dix, Julio G., Philos, Christos G., Purnaras, Ioannis K. (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

An asymptotic result for weak differential inequalities

S. Zaidman (1976)

Rendiconti del Seminario Matematico della Università di Padova

An asymptotic stability theorem for nonautonomous functional differential equations

Carlotta Maffei (1983)

Rendiconti del Seminario Matematico della Università di Padova

An asymptotic theorem for a class of nonlinear neutral differential equations

Manabu Naito (1998)

Czechoslovak Mathematical Journal

The neutral differential equation (1.1) $\frac{d^{n}}{d t^{n}} [x (t) + x (t - τ)] + σ F (t, x (g (t))) = 0,$ is considered under the following conditions: $n \geq 2$ , $τ > 0$ , $σ = \pm 1$ , $F (t, u)$ is nonnegative on $[t_{0}, \infty) \times (0, \infty)$ and is nondecreasing in $u \in (0, \infty)$ , and $lim g (t) = \infty$ as $t \to \infty$ . It is shown that equation (1.1) has a solution $x (t)$ such that (1.2) $lim_{t \to \infty} \frac{x (t)}{t^{k}} exists and is a positive finite value if and only if \int_{t_{0}}^{\infty} t^{n - k - 1} F (t, c {[g (t)]}^{k}) d t < \infty for some c > 0 .$ Here, $k$ is an integer with $0 \leq k \leq n - 1$ . To prove the existence of a solution $x (t)$ satisfying (1.2), the Schauder-Tychonoff fixed point theorem is used.

An averaging principle for stochastic evolution equations. II.

Bohdan Maslowski, Jan Seidler, Ivo Vrkoč (1991)

Mathematica Bohemica

In the present paper integral continuity theorems for solutions of stochastic evolution equations of parabolic type on unbounded time intervals are established. For this purpose, the asymptotic stability of stochastic partial differential equations is investigated, the results obtained being of independent interest. Stochastic evolution equations are treated as equations in Hilbert spaces within the framework of the semigroup approach.

An efficient zero-stable numerical method for fourth-order differential equations.

Kayode, S.J. (2008)

International Journal of Mathematics and Mathematical Sciences

An electromagnetic free-boundary problem

Descloux, J., Maillard, P. (1990)

Equadiff 7

An elementary proof of asymptotic behavior of solutions of U" = VU

Sobajima, Motohiro, Metafune, Giorgio (2017)

Proceedings of Equadiff 14

We provide an elementary proof of the asymptotic behavior of solutions of second order differential equations without successive approximation argument.

An Elementary Proof of the Baker-Campbell-Hausdorff-Dynkin Formula.

Dragomir Z. Djokovic (1975)

Mathematische Zeitschrift

An elliptic problem with arbitrarily small positive solutions.

Omari, Pierpaolo, Zanolin, Fabio (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

An embedding theorem for a weighted space of Sobolev type and correct solvability of the Sturm-Liouville equation

Nina A. Chernyavskaya, Leonid A. Shuster (2012)

Czechoslovak Mathematical Journal

An epidemic model with a time delay in transmission

Q. J. A. Khan, E. V. Krishnan (2003)

Applications of Mathematics

We study a mathematical model which was originally suggested by Greenhalgh and Das and takes into account the delay in the recruitment of infected persons. The stability of the equilibria are also discussed. In addition, we show that the introduction of a time delay in the transmission term can destabilize the system and periodic solutions can arise by Hopf bifurcation.

An epidemic model with density dependent parameters and vaccination.

Khan, Q.J.A., Bhatt, B.S. (1996)

International Journal of Mathematics and Mathematical Sciences

An Epidemic Model With Post-Contact Prophylaxis of Distributed Length II. Stability and Oscillations if Treatment is Fully Effective

H. R. Thieme, A. Tridane, Y. Kuang (2008)

Mathematical Modelling of Natural Phenomena

A possible control strategy against the spread of an infectious disease is the treatment with antimicrobials that are given prophylactically to those that had contact with an infective person. The treatment continues until recovery or until it becomes obvious that there was no infection in the first place. The model considers susceptible, treated uninfected exposed, treated infected, (untreated) infectious, and recovered individuals. The overly optimistic assumptions are made that treated uninfected...

Currently displaying 741 – 760 of 1228