One-dimensional boundary blow up problem with a nonlocal term
Taketo Inaba, Futoshi Takahashi
TL;DR
This paper investigates a one-dimensional boundary blow-up problem with a nonlocal term, deriving precise asymptotic formulas for solutions as the bifurcation parameter becomes large.
Contribution
It provides the first detailed asymptotic analysis of solutions to a nonlocal boundary blow-up problem in one dimension for large parameters.
Findings
Derived explicit asymptotic formulas for solutions
Identified the behavior of solutions as the bifurcation parameter increases
Enhanced understanding of nonlocal boundary blow-up phenomena
Abstract
In this paper, we study a nonlocal boundary blow up problem on an interval and obtain the precise asymptotic formula for solutions when the bifurcation parameter in the problem is large.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Advanced Mathematical Modeling in Engineering · Differential Equations and Numerical Methods