On second order discontinuous differential equations in Banach spaces.
On solvability of functional equations in the space of continuous vector functions.
On solvability of mixed monotone operator equations with applications to mixed quasimonotone differential systems involving discontinuities.
On solvability of nonlinear equations.
On solvability of nonlinear operator equations and eigenvalues of homogeneous operators
Notions as the numerical range and the spectrum of couple of homogeneous operators on a Banach space are used to derive theorems on solvability of the equation Conditions for the existence of eigenvalues of the couple are given.
On the approximation of some nonlinear equations.
On the convergence of gelerkin approximations
On the existence of multiple solutions for a nonlocal BVP with vector-valued response
The existence of positive solutions for a nonlocal boundary-value problem with vector-valued response is investigated. We develop duality and variational principles for this problem. Our variational approach enables us to approximate solutions and give a measure of a duality gap between the primal and dual functional for minimizing sequences.
On the existence of solution of the equation and a generalized coincidence degree theory. I.
On the existence of solution of the equation and a generalized coincidence degree theory. II.
On the existence of weak solutions for some quasilinear elliptic variational boundary value problems at resonance
On the existence theorems of Kantorovich, Miranda and Borsuk.
On the fixed point index of non-compact mappings
On the iterative construction of a solution of nonlinear elliptic boundary value problems
On the numerical solution of perturbed bifurcation problems.
On the range of nonlinear operators with linear asymptotes which are not invertible
On the range of nonlinear operators with linear asymptotes which are not invertible
On the solvability of a system of wave and beam equations.
On the spectrum of a nonlinear operator
On the Stability of the Ritz Procedure for Nonlinear Problems.