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On construction of approximate solution of mixed additive non – linear integral equation in the space L P ( p >= 1 )

AMSE Review • 1995
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Publication Information
Authors Jointly with El Sayed A . M . Ghorayeb and A. A. El Shafy
Keywords Not Available
Journal AMSE Review
Publisher AMSE Review
Volume 23
Issue 2
Pages 1-18
publication.type International
Paper Link Not Available
Supplementary Materials Not Available
Abstract
The main objective of this work, we propose an approximate method
to construct approximate solution of mixed additive hammerestein
nonlinear volterra integral equations in the space Lp (p ~ 1). Using
the linear polynomial operators, we replace the given equation by a
nonlinear integral equation Hammerstein type with degenerate kernel,
and taking the solution of it as an approximate solution to the given
equation . the problem of solving the new equation is equivalent to
that of solving a systam of nonlinear algebraic equations .