BOUNDEDNESS SOLUTIONS OF A CERTAIN FOURTH-ORDER NONLINEAR DIFFERENTIAL EQUATION
نویسندگان
چکیده
We consider the boundedness solutions of a certain fourth-order nonlinear and nonhomogeneous differential equation. prove that this equation are bounded byCauchy formula
منابع مشابه
Boundedness of Solutions of a Third-order Nonlinear Differential Equation
Sufficient conditions are established for the boundedness of all solutions of (1.1), and we also present some sufficient conditions, which ensure that the limits of first and second order derivatives of the solutions of (1.1) tend to zero as t→∞. Our results improve and include those results obtained by previous authors ([3], [5]).
متن کاملPeriodic solutions of fourth-order delay differential equation
In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$ is investigated. Some new positive periodic criteria are given.
متن کاملConvergence of Solutions of Certain Fourth-Order Nonlinear Differential Equations
We give sufficient criteria for the existence of convergence of solutions for a certain class of fourth-order nonlinear differential equations using Lyapunov's second method. A complete Lyapunov function is employed in this work which makes the results to include and improve some existing results in literature. This is an open access article distributed under the Creative Commons Attribution Li...
متن کاملOn the Periodic Solutions of a Certain Nonlinear Vector Differential Equation of Fourth-order
Our aim is essentially to establish a theorem which contains sufficient conditions that guarantee the non-existence of nontrivial periodic solutions of a certain nonlinear vector differential equation of fourth order.
متن کاملStability and Boundedness of Solutions to Certain Fourth-order Differential Equations
We give criteria for the asymptotic stability and boundedness of solutions to the nonlinear fourth-order ordinary differential equation x + φ(ẍ) ... x + f(x, ẋ)ẍ + g(ẋ) + h(x) = p(t, x, ẋ, ẍ, ... x ) , when p ≡ 0 and when p 6= 0. Our results include and improve some well-known results in the literature.
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: International journal of mathematics and computer research
سال: 2023
ISSN: ['2320-7167']
DOI: https://doi.org/10.47191/ijmcr/v11i4.08