First-order nonlinear differential equations with state-dependent impulses
نویسندگان
چکیده
منابع مشابه
Stability Analysis for Nonlinear Second Order Differential Equations with Impulses∗
In this paper we investigate the impulsive equation { (r(t)x′) + a(t)x + f (t, x, x′) = p(t), t ≥ t0, t 6= tk, x(tk) = ckx(tk − 0), x(tk) = dkx(tk − 0), k = 1, 2, 3, . . . , and establish a couple of criteria to guarantee the equations of this type to possess the stability, including boundedness and asymptotic properties. Some examples are given to illustrate our results and the last one shows ...
متن کاملOscillation for second order nonlinear delay differential equations with impulses
In this paper , we investigate the oscillation of second order nonlinear delay differential equations with impulses of the form k k k k k k k r t x t p t x t Q t x t t t t t k n x t g x t x t h x t
متن کاملNonoscillation and positivity of solutions to first order state-dependent differential equations with impulses in variable moments
The state-dependent delay differential equation ẋ(t)+ m ∑ i=1 pi(t)x ( t − (Hix)(t) )= f (t), t ∈ [0,∞), x(ξ)= φ(ξ), ξ < 0, with state-dependent impulses is under consideration. Sufficient conditions for positivity of solutions to the Cauchy and periodic problems as well as conditions for positivity of solutions to the problem with a condition on the right end of the interval [0,ω] are given. S...
متن کاملOscillation criteria for second order nonlinear dynamic equations with impulses
We investigate the oscillatory behavior of the second order nonlinear dynamic equation ` a(x) ́∆ (t) + q(t)x(t) = 0, the forced dynamic equation ` a(x) ́∆ (t) + q(t)x(t) = e(t) and the forced-perturbed dynamic equation ` a(x) ́∆ (t) + q(t)x(t) = e(t) + p(t)x (t). The obtained results are new and not only extend the known results appeared in the literature, but they also improve and unify the kn...
متن کاملOscillations of Higher Order Functional Differential Equations with Impulses
A kind of higher order sub-and super-linear FDE with impulses is studied in this paper. Several criteria on the oscillations of solutions are given. In particular, in the case where the coefficients of equations are positive and continuous functions, we find some suitable impulse functions such that all solutions of the equation are oscillatory under the impulse control. 2000 Mathematics Subjec...
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: Boundary Value Problems
سال: 2013
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2013-195