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Nontrivial solutions for a boundary value problem of \(n\)th-order impulsive differential equation - MaRDI portal

Nontrivial solutions for a boundary value problem of \(n\)th-order impulsive differential equation (Q463219)

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scientific article; zbMATH DE number 6356647
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Nontrivial solutions for a boundary value problem of \(n\)th-order impulsive differential equation
scientific article; zbMATH DE number 6356647

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    Nontrivial solutions for a boundary value problem of \(n\)th-order impulsive differential equation (English)
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    16 October 2014
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    Summary: We study the existence of nontrivial solutions for \(n\)th-order boundary value problem with impulsive effects. We utilize Leray-Schauder degree theory to establish our main results. Furthermore, our nonlinear term \(f\) is allowed to grow superlinearly and sublinearly.
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    impulsive differential equation
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    nontrivial solutions
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    \(n\)th-order boundary value problem
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    Leray-Schauder degree theory
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