V
V. Lakshmikantham
Researcher at Florida Institute of Technology
Publications - 275
Citations - 25530
V. Lakshmikantham is an academic researcher from Florida Institute of Technology. The author has contributed to research in topics: Differential equation & Boundary value problem. The author has an hindex of 56, co-authored 275 publications receiving 24369 citations. Previous affiliations of V. Lakshmikantham include University of Oulu & University of Texas at Arlington.
Papers
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Book
Theory of Impulsive Differential Equations
TL;DR: Impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems.
Journal ArticleDOI
Fixed point theorems in partially ordered metric spaces and applications
TL;DR: In this paper, a fixed point theorem for a mixed monotone mapping in a metric space endowed with partial order was proved, using a weak contractivity type of assumption, which can be used to investigate a large class of problems.
Journal ArticleDOI
Basic theory of fractional differential equations
TL;DR: In this paper, the basic theory for the initial value problem of fractional differential equations involving Riemann-Liouville differential operators is discussed employing the classical approach, and the theory of inequalities, local existence, extremal solutions, comparison result and global existence of solutions are considered.