Minimal and maximal solutions for two-point boundary-value problems.
Minimal nonnegative solution of nonlinear impulsive differential equations on infinite interval.
Minimality of the system of root functions of Sturm-Liouville problems with decreasing affine boundary conditions
We consider Sturm-Liouville problems with a boundary condition linearly dependent on the eigenparameter. We study the case of decreasing dependence where non-real and multiple eigenvalues are possible. By determining the explicit form of a biorthogonal system, we prove that the system of root (i.e. eigen and associated) functions, with an arbitrary element removed, is a minimal system in L₂(0,1), except for some cases where this system is neither complete nor minimal.
Minimax inequality for a special class of functionals and its application to existence of three solutions for a Dirichlet problem in one-dimensional case.
Minimum principle for quadratic spline collocation discretization of a convection-diffusion problem
Mixed monotone iterative technique for abstract impulsive evolution equations in Banach spaces.
Mixed two-point boundary-value problems for impulsive differential equations.
Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions
The purpose of this paper is to study the periodic boundary value problem -u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) when f satisfies the Carathéodory conditions. We show that a generalized upper and lower solution method is still valid, and develop a monotone iterative technique for finding minimal and maximal solutions.
Monotone methods applied to some higher order boundary value problems.
Monotone positive solution of nonlinear third-order BVP with integral boundary conditions.
Monotone positive solutions for -Laplacian equations with sign changing coefficients and multi-point boundary conditions.
Monotonicity of the period map of a non-Hamiltonian center.
Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string
In this paper we consider a parametric eigenvalue problem related to a vibrating string which is constructed out of two different materials. Using elementary analysis we show that the corresponding principal eigenvalue is increasing with respect to the parameter. Using a rearrangement technique we recapture a part of our main result, in case the difference between the densities of the two materials is sufficiently small. Finally, a simple numerical algorithm will be presented which will also provide...
Morse-Sard theorem in infinite dimensional Banach spaces and investigation of the set of all critical levels
m-Point Boundary Value Problems
Multi point boundary-value problems at resonance for n-order differential equations: Positive and monotone solutions.
Multiple critical points for variational problems on partially ordered Hilbert spaces
Multiple global bifurcation branches for nonlinear Picard problems.
Multiple nodal solutions for some fourth-order boundary value problems via admissible invariant sets.
Multiple nonnegative solutions for BVPs of fourth-order difference equations.