Solvability of a higher-order nonlinear neutral delay difference equation.
Solvability of a multi-point boundary value problen of Neumann type.
Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale.
Solvability of a nonlinear third-order three-point general eigenvalue problem on time scales.
Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential.
Solvability of a -type multipoint boundary value problem for higher-order differential equations.
Solvability of a periodic type boundary value problem for first order scalar functional differential equations
Nonimprovable sufficient conditions for the solvability and unique solvability of the problem are established, where is a continuous operator satisfying the Carathèodory conditions, is a continuous functional, and .
Solvability of a second order boundary value problem on an unbounded domain.
Solvability of a semilinear boundary value problem with respect to the first eigenvalue. (Solvabilité d'un problem aux limites semi-linéaire autour de la première valeur propre.)
Solvability of a three-point nonlinear boundary-value problem.
Solvability of an Infinite System of Singular Integral Equations
2000 Mathematics Subject Classification: 45G15, 26A33, 32A55, 46E15.Schauder's fixed point theorem is used to establish an existence result for an infinite system of singular integral equations in the form: (1) xi(t) = ai(t)+ ∫t0 (t − s)− α (s, x1(s), x2(s), …) ds, where i = 1,2,…, α ∈ (0,1) and t ∈ I = [0,T]. The result obtained is applied to show the solvability of an infinite system of differential equation of fractional orders.
Solvability of boundary value problems for operator-differential equations of mixed type: the degenerate case.
Solvability of Neumann boundary-value problems with Caratheodory nonlinearities.
Solvability of nonlinear functional boundary value problems
Solvability of nonlinear Langevin equation involving two fractional orders with Dirichlet boundary conditions.
Solvability of second-order -point boundary value problems with impulses.
Solvability of singular boundary value problems for ordinary differential equations of order .
Solvability of some higher order two-point boundary value problems
Solvability of some singular and nonsingular nonlinear third order boundary value problems
Existence of positive solution to certain classes of singular and nonsingular third order nonlinear two point boundary value problems is examined using the idea of Topological Transversality.
Solvability properties of semilinear operator equations