On $L_p$-solutions of $n$th order nonlinear differential equation
نویسندگان
چکیده
منابع مشابه
ON THE PERIODIC SOLUTIONS OF A CLASS OF nTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS *
The nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. Using the Leray-Schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.
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Academic Editor: Feliz Manuel Minhós Copyright q 2011 Meiqiang Feng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper is devoted to study the existence, nonexistence, and multiplicity of positive solutions for the ...
متن کاملon the periodic solutions of a class of nth order nonlinear differential equations *
the nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. using the leray-schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.
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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 کاملBoundedness 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]).
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1988
ISSN: 0528-2195
DOI: 10.21136/cpm.1988.118355