The Blasius function in the complex plane.
The Cauchy-Nicoletti problem with poles.
The coincidence index for fundamentally contractible multivalued maps with nonconvex values
We study a coincidence problem of the form A(x) ∈ ϕ (x), where A is a linear Fredholm operator with nonnegative index between Banach spaces and ϕ is a multivalued A-fundamentally contractible map (in particular, it is not necessarily compact). The main tool is a coincidence index, which becomes the well known Leray-Schauder fixed point index when A=id and ϕ is a compact singlevalued map. An application to boundary value problems for differential equations in Banach spaces is given.
The effect of a spatial variable on the criticality of a boundary value problem
The existence and uniqueness of solution of Duffing equations with non- perturbation functional at nonresonance.
The existence of a solution of a nonlinear boundary value problem
The existence of multiple positive solutions of -Laplacian boundary value problems
The existence of periodic solutions for a class of nonlinear functional differential equations
This paper is concerned with periodic solutions of first-order nonlinear functional differential equations with deviating arguments. Some new sufficient conditions for the existence of periodic solutions are obtained. The paper extends and improves some well-known results.
The extended Adomian decomposition method for fourth order boundary value problems.
The first kind periodic solutions of differential equations of the second order
The generalized approximation method and nonlinear heat transfer equations.
The generalized coincidence index --- application to a boundary value problem
The generalized method of quasilinearization and nonlinear boundary value problems with integral boundary conditions.
The interaction of linear boundary value and nonlinear functional conditions
The existence of solutions is studied for certain nonlinear differential equations with both linear and nonlinear conditions
The Lazer-McKenna conjecture for radial solutions in the ball.
The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method
The mesh chopping algorithm for singularly perturbed boundary value problem.
The method of lower and upper solutions for th-order periodic boundary value problems.
The method of lower and upper solutions for some fourth-order equations.
The method of quasi-linearization for resolution a nonlocal nonlinear boundary problem.