Reprint

Differential Equations and Asymptotic Analysis: Recent Advances and Applications

Edited by
March 2024
232 pages
  • ISBN978-3-7258-0335-4 (Hardback)
  • ISBN978-3-7258-0336-1 (PDF)

This book is a reprint of the Special Issue Differential Equations and Asymptotic Analysis: Recent Advances and Applications that was published in

Computer Science & Mathematics
Physical Sciences
Summary

Many real-world problems in science and engineering, including physical, biological, and social phenomena, can be mathematically formulated and rigorously solved by modeling them in linear and nonlinear differential and partial differential equations. This Special Issue titled “Differential Equations and Asymptotic Analysis: Recent Advances and Applications” consists of a collection of papers written by eminent mathematicians and experts in their fields, covering many different areas of nonlinear analysis, both theoretical and applied, related to differential equations, including fixed point theory, monotone operator theory, equilibrium problems and optimization, asymptotic analysis, mathematical biology, and numerical computations. We hope that this Special Issue will be of interest to many researchers, as well as graduate students working in these fields.

Format
  • Hardback
License
© 2022 by the authors; CC BY-NC-ND license
Keywords
three predators; bifurcation; stochastic; stability; numerical simulations; Sotomayor’s theorem; fixed point; ℒ contraction; ℒγ contraction; Suzuki-type ℒγ contraction; Suzuki–Berinde-type ℒγ contraction; metric space; Branciari distance space; complete metric space; convergence analysis; inexact iteration; infinite product; non-expansive mapping; honeybee population dynamics; existence of non-negative solutions; parameter identification analysis; equilibrium problem; extragradient method; Hadamard manifold; pseudomonotone operator; Riemannian manifold; non-autonomous epidemic model; Zika fever; microcephaly; basic reproduction number; first-order evolution equation; asymptotic behavior; maximal monotone operator; difference equation; periodic solution; expansive-type gradient system; monotone inclusion; resolvent free; minimax problems; critical point problems; time-fractional Schrödinger equation; L1-2-3 formula; compact finite difference method; stability; Caputo derivative; delay differential equations; oscillatory behavior; Kneser-type criteria; comparison theorems; SRLW equation; finite difference; second-order; two-level time-mesh; convergence analysis; functional differential equations; third-order; monotonic properties of the positive solutions; canonical case; fixed point; contraction; generalized contraction; set-valued contraction; metric space