Transformations of linear second order ordinary differential equations
Traveling wave fronts in spatially discrete reaction-diffusion equations on higher-dimensional lattices.
Travelling wave solutions for the Painlevé-integrable coupled KdV equations.
Two notions which affected nonlinear analysis (Bernard Bolzano lecture)
General mathematical theories usually originate from the investigation of particular problems and notions which could not be handled by available tools and methods. The Fučík spectrum and the -Laplacian are typical examples in the field of nonlinear analysis. The systematic study of these notions during the last four decades led to several interesting and surprising results and revealed deep relationship between the linear and the nonlinear structures. This paper does not provide a complete survey....