New Results for Some Neutral Partial Functional Differential Equations

Existence results for integro-differential equations with reflection

“…If we put β(t) = t − p, then hypothesis (M 0 ) is satisfied, cf. Ben-Salah et al [8]. Then equation ( 9) is a special case of equation ( 3) if we take…”

“…Lemma 2.6 (Ben Salah et al [8]) Let µ ∈ M, g ∈ P AA(R, R 2 , µ), h ∈ P AAU (R × R 2 , R, µ), and suppose that hypotheses (M 1 ) and (h ′ 3 ) hold. Then [t −→ h(t, g(t))] ∈ P AA(R, R, µ).…”

“…Recently, these research directions have taken various generalizations (cf. Ait Dads et al [4,5,6], Ben-Salah et al [8], Blot et al [9], Chérif and Miraoui [11], Diagana et al [13],…”

Existence Results for Integro-Differential Equations with Reflection

“…If we put bðtÞ ¼ tÀp, then hypothesis (M0) is satisfied, cf. Ben-Salah et al [10]. Then equation ( 10) is a special case of equation ( 3) if we take…”

On the integro‐differential equations with reflection

“…1 For more details on these last themes, one can read the two references of Veech 2 and N'Guérékata. 3 The notion of measure pseudo almost periodicity and automorphy [4][5][6][7][8][9][10][11][12] is a generalization of pseudo periodicity and weighted periodicity (see the literature 13,14 ).…”