A semi-linear second order ODE under a nonlinear two-point boundary condition is considered. Under appropriate conditions on the nonlinear term of the equation, we define a two-dimensional shooting argument which allows ...

Two iterative schemes for the solution of an H-system with Dirichlet boundary data for a revolution surface are studied: a Newton imbedding type procedure, which yields the local quadratic convergence of the iteration and ...

Using Leray-Schauder degree theory and the method of upper andlower solutions we establish existence and multiplicity of solutions for problemsof the form(ϕ(u0))0 = f(t, u, u0)u(0) = u(T) = u0(0),where ϕ is an increasing ...

We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a ϕ-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray–Schauder ...

A semi-linear second order ODE under a nonlinear two-point boundary condition is considered. Under appropriate conditions on the nonlinear term of the equation, we define a two-dimensional shooting argument which allows ...

Water-miscible ionic liquids (ILs) may be salted out using kosmotropic salts such as potassium phosphate (K3PO4) to form salt-salt aqueous biphasic systems (ABS). The effect of temperature on these systems has been studied ...

PURPOSE. To determine whether experimentally measured upper and lower eyelid saccades can be fitted to a mathematical function. METHODS. A charge-coupled device video camera connected to a personal computer was used to ...

In this paper, we study the behavior of the solutions of nonlinear parabolic problems posed in a domain that degenerates into a line segment (thin domain) which has an oscillating boundary. We combine methods from linear ...