A note on solvability of three-point bound-ary value problems for third-order differential equations with p-Laplacian
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Abstract
Third-point boundary value problems for third-order differential equation
$ \begin{cases} & [q(t)\phi(x''(t))]'+kx'(t)+g(t,x(t),x'(t))=p(t),\;\;t\in (0,1),\\ &x'(0)=x'(1)=x(\eta)=0. \end{cases} $
is considered. Sufficient conditions for the existence of at least one solution of above problem are established. Some known results are improved.
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How to Cite
Liu, X., & Liu, Y. (2008). A note on solvability of three-point bound-ary value problems for third-order differential equations with p-Laplacian. Tamkang Journal of Mathematics, 39(1), 95–103. https://doi.org/10.5556/j.tkjm.39.2008.49
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