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.)
Non-self-adjoint singular Sturm-Liouville problems with boundary conditions dependent on the eigenparameter.
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.
Nontrivial solutions for fractional -difference boundary value problems.
Nonuniqueness theorem for a singular Cauchy-Nicoletti problem.
Note on existence of periodic solutions to the third-order nonlinear differential equation
Note on the absolutely continuous spectrum of Sturm-Liouville operators.
Note on the uniqueness of a global positive solution to the second Painlevé equation.
Notes on the Fučík spectrum and the mixed boundary value problem
The paper is devoted to the study of the properties of the Fučík spectrum. In the first part, we analyse the Fučík spectra of the problems with one second order ordinary differential equation with Dirichlet, Neumann and mixed boundary conditions and we present the explicit form of nontrivial solutions. Then, we discuss the problem with two second order differential equations with mixed boundary conditions. We show the relation between the Dirichlet boundary value problem and mixed boundary value...
Numerical Approximations of the Dynamical System Generated by Burgers’ Equation with Neumann–Dirichlet Boundary Conditions
Using Burgers’ equation with mixed Neumann–Dirichlet boundary conditions, we highlight a problem that can arise in the numerical approximation of nonlinear dynamical systems on computers with a finite precision floating point number system. We describe the dynamical system generated by Burgers’ equation with mixed boundary conditions, summarize some of its properties and analyze the equilibrium states for finite dimensional dynamical systems that are generated by numerical approximations of this...
Numerical Computation of Branch Points in Ordinary Differential Equations.