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Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities
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نویسنده
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li y. ,guo l.
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منبع
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journal of function spaces - 2017 - دوره : 2017 - شماره : 0
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چکیده
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This paper is concerned with the existence of periodic solutions for the fully second-order ordinary differential equation u″(t)=f(t,u(t)),u′t,t∈r,where the nonlinearity f:r3→r is continuous and f(t,x,y) is 2π-periodic in t. under certain inequality conditions that f(t,x,y) may be superlinear growth on (x,y),an existence result of odd 2π-periodic solutions is obtained via leray-schauder fixed point theorem. © 2017 yongxiang li and lanjun guo.
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آدرس
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department of mathematics,northwest normal university,lanzhou, China, department of mathematics,northwest normal university,lanzhou, China
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Authors
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