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Exact(37)
This type of boundary value problems has become one of the hottest problems at present.
Thus it follows that boundary value problems has a positive solution, and the theorem is proved.
Then boundary value problems has a solution if and only if is a fixed point of.
During the last two decades, the theory of singular boundary value problems has also been extensively developed.
Under (A2), it follows that the system of initial boundary value problems has a unique solution; see [3] or [5].
Presently, the study of existence of positive solutions of third-order boundary value problems has gained much attention [1 12].
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The expansion formula thus derived is extended to deal with similar boundary value problems having Neumann type boundary condition.
The meshless methods for solving boundary value problems have been extensively popularised owing to their flexibility in engineering applications.
Multi-point boundary value problems have received considerable interest in the mathematical applications in different areas of science and engineering.
Neumann boundary value problems have been studied by many authors.
Recently, the integral boundary value problems have been studied extensively.
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