Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces.
Some existence results for boundary value problems of fractional differential inclusions with non-separated boundary conditions.
Some existence results for boundary value problems of fractional semilinear evolution equations.
Some existence results for solutions of differential inclusions with retardations
Using the topological transversality method of Granas we prove an existence result for a system of differential inclusions with retardations of the form y'' ∈ F(t,y,y',Φ(y)). The result is applied to the study of the existence of solutions to an equation of the trajectory of an r-stage rocket with retardations.
Some features of the nodal recovery of gradients from finite element approximations which produces superconvergence
Some features of uncontinuable solutions of impulsive dynamical systems.
Some fixed point theorems in locally convex spaces and applications to differential and integral equations
Some generalizations of one Mitrinovic's problem
Some geometric aspects of Sobolev spaces
Some geometric remarks about dispersions
Some global results for nonlinear fourth order eigenvalue problems
In this paper, we consider the nonlinear fourth order eigenvalue problem. We show the existence of family of unbounded continua of nontrivial solutions bifurcating from the line of trivial solutions. These global continua have properties similar to those found in Rabinowitz and Berestycki well-known global bifurcation theorems.
Some global results for nonlinear Sturm-Liouville problems with spectral parameter in the boundary condition
We consider nonlinear Sturm-Liouville problems with spectral parameter in the boundary condition. We investigate the structure of the set of bifurcation points, and study the behavior of two families of continua of nontrivial solutions of this problem contained in the classes of functions having oscillation properties of the eigenfunctions of the corresponding linear problem, and bifurcating from the points and intervals of the line of trivial solutions.
Some Inequalities Associated with Certain Ordinary Differential Operators.
Some inequalities for Sobolev integrals.
Some integral inequalities of Sturm-Liouville type
Some metric-singular properties of the graph of solutions of the one-dimensional -Laplacian.
Some modifications of Sobolev spaces and non-linear boundary value problems
Some monotonicity properties associated with the zeros of Bessel functions
Some new methods for numerical solution of initial value problems
Some new oscillation criteria for second order elliptic equations with damping
Some new oscillation criteria are obtained for second order elliptic differential equations with damping , x ∈ Ω, where Ω is an exterior domain in ℝⁿ. These criteria are different from most known ones in the sense that they are based on the information only on a sequence of subdomains of Ω ⊂ ℝⁿ, rather than on the whole exterior domain Ω. Our results are more natural in view of the Sturm Separation Theorem.