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Keywords:
third order; half-line; $\phi $-Laplacian; singular problem; positive solution; derivative dependance; upper and lower solution
third order; half-line; $\phi $-Laplacian; singular problem; positive solution; derivative dependance; upper and lower solution
Summary:
This work is devoted to the existence of solutions for a class of singular third-order boundary value problem associated with a $\phi $-Laplacian operator and posed on the positive half-line; the nonlinearity also depends on the first derivative. The upper and lower solution method combined with the fixed point theory guarantee the existence of positive solutions when the nonlinearity is monotonic with respect to its arguments and may have a space singularity; however no Nagumo type condition is assumed. An example of application illustrates the applicability of the existence result.
References:
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