In our final chapter, we discuss the existence of solutions for several nonlinear differential inclusions. Such problems are considered on compact intervals of the real line. We start the discussion with a quadratic initial value problems for differential inclusion. Next, we extend the results to the case of periodic boundary value problems of first order (in short VPDI). In the second part of this chapter, we study several coupled systems of nonlinear functional integral inclusions and differential inclusions with bounded domains in Banach algebra satisfying the sequential condition \((\mathscr {P}).\)

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Two-Dimensional Value Problems for Differential Inclusions

  • Aref Jeribi,
  • Najib Kaddachi

摘要

In our final chapter, we discuss the existence of solutions for several nonlinear differential inclusions. Such problems are considered on compact intervals of the real line. We start the discussion with a quadratic initial value problems for differential inclusion. Next, we extend the results to the case of periodic boundary value problems of first order (in short VPDI). In the second part of this chapter, we study several coupled systems of nonlinear functional integral inclusions and differential inclusions with bounded domains in Banach algebra satisfying the sequential condition \((\mathscr {P}).\)