In this paper, convergence theorems involving convex inequalities of Copson’s type (less restrictive than monotonicity assumptions) are given for varying measures, when imposing convexity conditions on the integrable functions or on the measures. Consequently, a continuous dependence result for a wide class of differential equations with many interesting applications, namely measure differential equations (including Stieltjes differential equations, generalized differential problems, impulsive differential equations with finitely or countably many impulses and also dynamic equations on time scales) is provided.

Marraffa V., Satco B. (2022). Convergence Theorems for Varying Measures Under Convexity Conditions and Applications. MEDITERRANEAN JOURNAL OF MATHEMATICS, 19(6), 1-18 [10.1007/s00009-022-02196-y].

Convergence Theorems for Varying Measures Under Convexity Conditions and Applications

Marraffa V.
;
Satco B.
2022-01-01

Abstract

In this paper, convergence theorems involving convex inequalities of Copson’s type (less restrictive than monotonicity assumptions) are given for varying measures, when imposing convexity conditions on the integrable functions or on the measures. Consequently, a continuous dependence result for a wide class of differential equations with many interesting applications, namely measure differential equations (including Stieltjes differential equations, generalized differential problems, impulsive differential equations with finitely or countably many impulses and also dynamic equations on time scales) is provided.
2022
Settore MAT/05 - Analisi Matematica
Marraffa V., Satco B. (2022). Convergence Theorems for Varying Measures Under Convexity Conditions and Applications. MEDITERRANEAN JOURNAL OF MATHEMATICS, 19(6), 1-18 [10.1007/s00009-022-02196-y].
File in questo prodotto:
File Dimensione Formato  
Med_J_Math_2022_Marraffa_Satco.pdf

accesso aperto

Tipologia: Versione Editoriale
Dimensione 378.74 kB
Formato Adobe PDF
378.74 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/573110
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact