Asymptotic behavior of solutions to an integral equation underlying a second-order differential equation (Q2518122)
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| Language | Label | Description | Also known as |
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| English | Asymptotic behavior of solutions to an integral equation underlying a second-order differential equation |
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Asymptotic behavior of solutions to an integral equation underlying a second-order differential equation (English)
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13 January 2009
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The authors investigate the existence and uniqueness of solutions to the integral equation of the form \[ y(t)=\omega(t)-\int_{0}^{\infty}f(t,s,y(s))ds, \;t\in [0,\infty). \] These results are obtained using Schauder fixed point theorem and applied to second-order nonlinear differential equations.
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nonlinear integral equation
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asymptotic behavior
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Schauder fixed point theorem
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