Impulsive limit in nonlinear mixed initial-boundary value problem for pseudo-parabolic equations with nonstandard growth
Nonlinear Differential Equations and Applications, cilt.33, sa.5, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 5
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s00030-026-01249-5
- Dergi Adı: Nonlinear Differential Equations and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Hacettepe Üniversitesi Adresli: Evet
Özet
In the present paper, we study the nonlinear mixed initial-boundary value problem for the pseudo-parabolic differential equation with p-Laplacian with a mixed boundary condition. The main novelty is that we study impulsive limit. This means that a fast reaction term is also multiplied by a characteristic function 1[0,1/n](t), i.e. the term n1[0,1/n](t) approximates the Dirac delta function δ(t=0). In order to pass to the limit as n→∞, we rescale the problem by the procedure t¯=nt:[0,1n]↦[0,1] on an infinitesimal initial layer, which also contains a rescaled mixed boundary condition. In the impulsive limit, we get the problem on infinitesimal initial layer giving a new initial data.