On monotone iterative method for first order impulsive integro-differential boundary value problems in Banach space (Q2765002)

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scientific article; zbMATH DE number 1691278
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On monotone iterative method for first order impulsive integro-differential boundary value problems in Banach space
scientific article; zbMATH DE number 1691278

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    3 July 2002
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    monotone iterative method
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    first-order impulsive integro-differential boundary value problems
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    Banach space
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    periodic boundary value problem
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    On monotone iterative method for first order impulsive integro-differential boundary value problems in Banach space (English)
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    The authors consider a periodic boundary value problem for impulsive integro-differential equation in Banach spaces: NEWLINE\[NEWLINEu'(t)=f \left(t, u(t), \int^k_0 k(t,s)x(s)ds,\;\int^{2\pi}_0 h(t,s)x(s)ds \right), \;t\neq t_i,NEWLINE\]NEWLINE NEWLINE\[NEWLINE\Delta u|_{t=t_i}= I_i\bigl(u(t_i)\bigr),\;i=1,2,\dots,m,\quad u(0)= u(2 \pi)NEWLINE\]NEWLINE by means of the monotone iterative method.
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