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In this paper, by using the properties of the Green function, u0$u_{0}$-positive operator and Gelfand’s formula, some properties of the first eigenvalue corresponding to the relevant operator are obtained. Based… Click to show full abstract
In this paper, by using the properties of the Green function, u0$u_{0}$-positive operator and Gelfand’s formula, some properties of the first eigenvalue corresponding to the relevant operator are obtained. Based on these properties, the fixed point index of the nonlinear operator is calculated explicitly and some sufficient conditions for the existence and uniqueness results of positive solution are established.
Keywords:
positive solutions;
singular dirichlet;
type boundary;
dirichlet type;
solutions singular;
equations positive
Journal Title: Advances in Difference Equations
Year Published: 2018
Link to full text (if available)
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Journal Title: Advances in Difference Equations
Year Published: 2018
Link to full text (if available)
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recommendations!