Nonlinear systems of differential inequalities and solvability of certain boundary value problems.
Nonlinear systems of second-order ODEs.
Nonlinear systems with mean curvature-like operators
We give an existence result for a periodic boundary value problem involving mean curvature-like operators. Following a recent work of R. Manásevich and J. Mawhin, we use an approach based on the Leray-Schauder degree.
Nonlinear triple-point problems on time scales.
Nonlocal systems of BVPs with asymptotically superlinear boundary conditions
In this paper we consider a coupled system of second-order boundary value problems with nonlocal, nonlinear boundary conditions, and we examine conditions under which such problems will have at least one positive solution. By imposing only an asymptotic growth condition on the nonlinear boundary functions, we are able to achieve generalizations over existing works and, in particular, we allow for the nonlocal terms to be able to be realized as Lebesgue-Stieltjes integrals possessing signed Borel...
Nonmonotone impulse effects in second-order periodic boundary value problems.
Nonnegative nonincreasing solutions of differential equations of the 3rd order
Nonnegative solutions of a class of second order nonlinear differential equations
A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.
Nonnegative solutions to an integral equation and its applications to systems of boundary value problems.
Nonnegative solutions to superlinear problems of generalized Gelfand type.
Nonresonance conditions for fourth order nonlinear boundary value problems.
Non-resonance of the first two eigenvalues of a quasilinear problem. (Non-résonance entre les deux premières valeurs propres d'un problème quasi-linéaire.)
Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces.
Nonsymmetric solutions of a nonlinear boundary value problem
We study the existence and multiplicity of positive nonsymmetric and sign-changing nonantisymmetric solutions of a nonlinear second order ordinary differential equation with symmetric nonlinear boundary conditions, where both of the nonlinearities are of power type. The given problem has already been studied by other authors, but the number of its positive nonsymmetric and sign-changing nonantisymmetric solutions has been determined only under some technical conditions. It was a long-standing open...
Nontrivial critical points of asymptotically quadratic functions at resonances
Asymptotically quadratic functions defined on Hilbert spaces are studied by using some results of the theory of Morse-Conley index. Applications are given to existence of nontrivial weak solutions for asymptotically linear elliptic partial and ordinary differential equations at resonances.
Nontrivial solution for a three-point boundary-value problem.
Non-trivial solutions for a two-point boundary value problem
We prove the existence of at least one non-trivial solution for Dirichlet quasilinear elliptic problems. The approach is based on variational methods.
Nonuniqueness theorem for a singular Cauchy-Nicoletti problem.
Note on existence of periodic solutions to the third-order nonlinear differential equation
Note on the uniqueness of a global positive solution to the second Painlevé equation.