This volume provides a comprehensive review of the developments which have taken place
during the last thirty years concerning the asymptotic properties of solutions of …

This article contains an exposition of fundamental results of the theory of boundary-value
problems for systems of linear and nonlinear ordinary differential equations. In particular, …

In the rectangle Ω=[0,a]×[0,b] for the nonlinear hyperbolic equation the boundary value
problems of the type are considered, where l 1i :C m−1 ([0,a])→R(i=1,…,m) and l 2k :C n−1 ([0,b])…

Consider the system of functional differential equations (0.1) i£^)= p (a;)(t)+ gW with the
boundary condition (0.2) l (x)= Co, where p: C (I\(Rn)-•» L (I\VT) and/: C (I\W1)-> IRn are linear …

This article gives an exposition of the fundamental results of the theory of boundary-value
problems for ordinary second-order differential equations having singularities with respect to …

In 1952 M. Biernacki [1] proved that the binomial differential equation of the fourth order uw=
p (t) и with a continuously differentiable nonincreasing coefficient p:[0,+ oo [->]—oo, 0 […

On a finite open interval] a, b [, we consider the differential equation u′′= f (t, u)(1) with the
Dirichlet boundary conditions u (a+)= 0, u (b−)= 0,(2) where f:] a, b [× R→ R is a continuous …

The asymptotic properties of solutions of the equation $u^{\prime \prime \prime }(t)=p_1(t)u(\tau
_1(t))+p_2(t)u^{\prime }(\tau _2(t))$, are investigated where $p_i:[a,+\infty [\rightarrow R \;\;…

For the differential equation in regular as well as in singular cases there are established
optimal sufficient conditions of existence for solutions satisfying nonlocal boundary …

Problems on the existence and asymptotic estimates of blow-up solutions occupy an important
place in the qualitative theory of ordinary differential equations and have been studied in …