SIAM Journal on Numerical Analysis, Vol. 27, No. 3 (Jun., 1990), pp. 704-735 (32 pages) Ordinary differential equations can be recast into a nonlinear canonical form called an S-system. Evidence for ...

A class of third-order semi-canonical differential equations with a superlinear neutral term of the type ( a( t ) [ ( b( t )( x( t )+p( t ) x α ( τ ) )’ )’ ] β )+q( t ) x λ ( σ( t ) )=0 is considered.

PROF. M. JANET has produced a valuable contribution to the analytical theory of partial differential equations. It opens with a clearly written introduction in which are discussed the chief problems ...

Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...