Positive solutions for boundary value problems of a class of second-order differential equation system
نویسندگان
چکیده
Abstract This article discusses the existence of positive solutions for system second-order ordinary differential equation boundary value problems − u ″ ( t ) = f , v accent="false">′ ∈ [ 0 1 ] g \left\{\begin{array}{l}-{u}^{^{\prime\prime} }\left(t)=f\left(t,u\left(t),v\left(t),u^{\prime} \left(t)),\hspace{1em}t\in \left[0,1],\\ -{v}^{^{\prime\prime} }\left(t)=g\left(t,u\left(t),v\left(t),v^{\prime} u\left(0)=u\left(1)=0,\hspace{1em}v\left(0)=v\left(1)=0,\end{array}\right. where xmlns:m="http://www.w3.org/1998/Math/MathML"> : × R + → f,g:\left[0,1]\times {{\mathbb{R}}}^{+}\times {\mathbb{R}}\to {{\mathbb{R}}}^{+} are continuous. Under related conditions that nonlinear terms x y p f\left(t,x,y,p) and q g\left(t,x,y,q) may be super-linear growth or sub-linear on x,y,p , q we obtain results solutions. For case, Nagumo condition F 3 \left(F3) is presented to restrict p . The f g described by inequality instead usual independent about discussion based fixed point index theory in cones.
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ژورنال
عنوان ژورنال: Open Mathematics
سال: 2023
ISSN: ['2391-5455']
DOI: https://doi.org/10.1515/math-2022-0586