The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE.
The shooting method and nonhomogeneous multipoint bvps of second-order ODE.
The singular Cauchy-Nicoletti problem for the system of two ordinary differential equations
In the paper the singular Cauchy-Nicoletti problem for the system ot two ordinary differential equations is considered. New sufficient conditions for solvability of this problem are proved. In the proofs the topological method is applied. Some comparisons with known results are also given in the paper.
The solution of the two-point boundary value problem for a nonlinear differential equation of the third order
The solution of two-point boundary value problem of a class of Duffing-type systems with non- perturbation term.
The spectra of general differential operators in the direct sum spaces
In this paper, the general ordinary quasi-differential expression of -th order with complex coefficients and its formal adjoint on any finite number of intervals , , are considered in the setting of the direct sums of -spaces of functions defined on each of the separate intervals, and a number of results concerning the location of the point spectra and the regularity fields of general differential operators generated by such expressions are obtained. Some of these are extensions or generalizations...
The spectral approximation for the shock layer problems.
The Spectrum of Hill's Equation.
The structure of spline collocation matrix for singularly perturbation problems with two small parameters.
The Sturm-Liouville Friedrichs extension
The characterization of the domain of the Friedrichs extension as a restriction of the maximal domain is well known. It depends on principal solutions. Here we establish a characterization as an extension of the minimal domain. Our proof is different and closer in spirit to the Friedrichs construction. It starts with the assumption that the minimal operator is bounded below and does not directly use oscillation theory.
The upper and lower solution method for nonlinear third-order three-point boundary value problem.
Third-order nonlocal problems with sign-changing nonlinearity on time scales.
Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems.
Three point boundary value problem for singularly perturbed semilinear differential equations.
Three point value problem for third-order linear differential equation
Three positive solutions for a system of singular generalized Lidstone problems.
Three positive solutions for -Laplacian functional dynamic equations on time scales.
Three solutions for a discrete nonlinear Neumann problem involving the -Laplacian.
Three solutions for forced Duffing-type equations with damping term.
Three solutions to Dirichlet boundary value problems for -Laplacian difference equations.