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 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 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.
Solving a bilocal linear singularly perturbed problem.
Solving a system of second order obstacle problems by a modified decomposition method.
Solving an inverse Sturm-Liouville problem by a Lie-group method.
Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method
We consider the inverse nodal problem for Sturm-Liouville (S-L) equation with frozen argument. Asymptotic behaviours of eigenfunctions, nodal parameters are represented in two cases and numerical algorithms are produced to solve the given problems. Subsequently, solution of inverse nodal problem is calculated by the second Chebyshev wavelet method (SCW), accuracy and effectiveness of the method are shown in some numerical examples.
Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions
For a second-order singularly perturbed ordinary differential equation (ODE) under the Robin type boundary conditions, we develop an energetic Robin boundary functions method (ERBFM) to find the solution, which automatically satisfies the Robin boundary conditions. For the non-singular ODE the Robin boundary functions consist of polynomials, while the normalized exponential trial functions are used for the singularly perturbed ODE. The ERBFM is also designed to preserve the energy, which can quickly...
Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green's function for the original surface.
Solving two-point boundary value problems for the non monic regular matrix differential equation