Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Nonlinear Impulsive Volterra-Fredholm Integrodifferential
  Equations   In this paper, we investigate existence and uniqueness of solutions of
nonlinear Volterra-Fredholm impulsive integrodifferential equations. Utilizing
theory of Picard operators we examine data dependence of solutions on initial
conditions and on nonlinear functions involved in integrodifferential
equations. Further, we extend the integral inequality for piece-wise continuous
functions to mixed case and apply it to investigate the dependence of solution
on initial data through $\epsilon$-approximate solutions. It is seen that the
uniqueness and dependency results got by means of integral inequity requires
less restrictions on the functions involved in the equations than that required
through Picard operators theory.

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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg