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Recent Advances in PDE and Their Applications

This special issue is devoted to the publication of high-quality research papers presented at ICAAM-2016 in the fields of the construction and investigation of solutions of well-posed and ill-posed boundary value problems for partial differential equations and their related applications.

Edited by: Ravi P. Agarwal, Allaberen Ashyralyev and Tynysbek Sh. Kalmenov

  1. Research

    Reducibility of beam equations in higher-dimensional spaces

    In this paper, we reduce a linear d-dimensional beam equation with an x-periodic and t-quasi-periodic potential for most values of the frequency vector via the KAM theorem. We focus on the measure estimates of sm...

    Jie Rui and Bingchen Liu

    Boundary Value Problems 2017 2017:82

    Published on: 2 June 2017

  2. Research

    Spectral analysis of wave propagation on branching strings

    In this paper the classical Hill problem with complex potentials are extended to the star graph. The definition of the Hill operator on such graph is discussed. The operator is defined with complex, periodic p...

    Rakib F Efendiev, Hamzaga D Orudzhev and Zaki FA El-Raheem

    Boundary Value Problems 2016 2016:215

    Published on: 1 December 2016