TY - JOUR AU - Lastra,A. AU - Remy,P. AU - Suwi?ska,M. KW - convergence KW - formal solution KW - Gevrey-type differential equation KW - Gevrey-type sequence KW - Power series T1 - CONVERGENCE OF FORMAL POWER SERIES SOLUTIONS FOR SOME REGULAR GEVREY-TYPE DIFFERENTIAL EQUATIONS LA - eng PY - 2026/// SP - 1 EP - 13 T2 - Electronic Journal of Differential Equations SN - 1072-6691 VL - 2026 PB - Texas State University - San Marcos AB - In this article we focus on the formal solutions for some regular Gevrey-type differential equation, with convergence of such solutions being the main point of interest. The attained results are a generalization of the classical result on the convergence of formal solutions to differential equations. The technique applied rests upon a classical argument based on a precise writing of the formal solution and a dilatation, in which several technical results on general properties of Gevrey-type sequences and Gevrey-type differential operators are applied. DO - 10.58997/EJDE.2026.36 UR - https://portalcientifico.uah.es/documentos/6a1b78a4e3ade41446334562 DP - Dialnet - Portal de la Investigación ER -