Brandi, Primo; Kamont, Zdzisław; Salvadori, Anna Differential and differential-difference inequalities related to mixed problems for first order partial differential-functional equations. (English) Zbl 0737.35133 Atti Semin. Mat. Fis. Univ. Modena 39, No. 1, 255-276 (1991). This paper presents a new approach for the solution of differential and differential-difference inequalities for PDE. It is proposed a very general difference operator which is defined as a weighted value related to 2 points of the mesh and also a discrete version comparison theorem. Applications of the present results to convergence are also presented. Reviewer: P.K.Mahanti (Ranchi) Cited in 6 Documents MSC: 35R10 Partial functional-differential equations 35R45 Partial differential inequalities and systems of partial differential inequalities 35F20 Nonlinear first-order PDEs 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs Keywords:differential-difference inequalities PDF BibTeX XML Cite \textit{P. Brandi} et al., Atti Semin. Mat. Fis. Univ. Modena 39, No. 1, 255--276 (1991; Zbl 0737.35133)