Weak solutions of integro-differential and functional differential equations (Q675738)

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scientific article; zbMATH DE number 989595
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Weak solutions of integro-differential and functional differential equations
scientific article; zbMATH DE number 989595

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    Weak solutions of integro-differential and functional differential equations (English)
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    24 September 1997
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    The authors apply Granas' topological transversality theory in order to obtain the existence of weak solutions to some boundary value problems for the functional differential equation \(u''= f(t,Su,u,u')\), \(t\in[a,b]\). As consequences, existence results for integro-differential, functional differential equations, and third and fourth order boundary value problems are derived.
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    Granas' topological transversality theory
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    weak solutions
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    functional differential equation
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    integro-differential
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    functional differential equations
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    third and fourth order boundary value problems
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