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The objective of this chapter is to study several coupled systems of nonlinear functional integral and differential equations arising in some physical and biological problems in the Banach algebra C([0, 1], X),  where X is a Banach algebra satisfying the condition \((\mathscr {P}).\) We should mention that all the involved operator equations are generated by block matrices with the dimensions \(2\times 2\) with nonlinear inputs.

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Two-Dimensional Boundary Value Problems

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  • 发表日期：

    2025年

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  • Aref Jeribi,
  • Najib Kaddachi

摘要

The objective of this chapter is to study several coupled systems of nonlinear functional integral and differential equations arising in some physical and biological problems in the Banach algebra C([0, 1], X),  where X is a Banach algebra satisfying the condition \((\mathscr {P}).\) We should mention that all the involved operator equations are generated by block matrices with the dimensions \(2\times 2\) with nonlinear inputs.