Interpolation problems arise in many areas where there is a need to construct a continuous
surface from irregularly spaced data points. This problem has a number of solutions and …

In 1960 the Polish mathematician Zdzidlaw Opial (1930--1974) published an inequality
involving integrals of a function and its derivative. This volume offers a systematic and up-to …

We consider the boundary value problem (ϕp (u′))′+ λF (t, u)= 0, with p> 1, t∈(0, 1), u
(0)= u (1)= 0, and with λ> 0. The value of λ is chosen so that the boundary value problem has …

The topic of singular boundary value problems has been of substantial and rapidly growing
interest for many scientists and engineers. This book is devoted to singular boundary value …

Sufficient conditions are given for the existence of a solution of a fourth order nonlinear
boundary value problem with nonlinear boundary conditions. The conditions assume the …

In this paper, we consider the Lidstone boundary value problem, y (2m)(t)= f (y (t),…, y
(2j)(t),… y (2 (m− 1))(t)), 0≤ t≤ 1, y (2i)(0)= 0= y (2i)(1), 0≤ i≤ m− 1, where (− 1) mf> 0 …

Inequalities play a fundamental rôle in all areas of mathematics and their applications.
Among several well-known inequalities, Lyapunov-type inequalities have been studied …

This book presents a novel approach to umbral calculus, which uses only elementary linear
algebra (matrix calculus) based on the observation that there is an isomorphism between …

The existence, nonexistence and multiplicity of positive solutions are considered for
Lidstone boundary value problem:[Formula: see text][Formula: see text] where λ> 0. By …

We consider the following boundary value problem:(− 1) ny (2n)= λF (t, y), n⩾ 1, t∈(0, 1), y
(2i)(0)= y (2i)(1)= 0, 0⩽ i⩽ n− 1, where λ> 0. The values of λ are characterized so that the …