A method of discretization for the Lagerström-Cole model equation.
A minimax inequality for a class of functionals and applications to the existence of solutions for two-point boundary-value problems.
A min-max theorem and its applications to nonconservative systems.
A monotone method for constructing extremal solutions to second order periodic boundary value problems
We describe a constructive method which yields two monotone sequences that converge uniformly to extremal solutions to the periodic boundary value problem u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) in the presence of a lower solution α(t) and an upper solution β(t) with β(t) ≤ α(t).
A multidimensional singular boundary value problem of Cauchy-Nicoletti type.
A multiplicity result for periodic solutions to higher-order ordinary differential equations via the method of upper and lower solutions.
A Nearly-Periodic Boundary Value Problem for Second Order Differential Equations
A necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equations.
A necessary condition for twin boundary layer behavior
A Neumann boundary-value problem on an unbounded interval.
A new a priori estimate for multi-point boundary-value problem.
A new approach for solving nonlinear BVP's on the half-line for second order equations and applications
We present a new approach to solving boundary value problems on noncompact intervals for second order differential equations in case of nonlocal conditions. Then we apply it to some problems in which an initial condition, an asymptotic condition and a global condition is present. The abstract method is based on the solvability of two auxiliary boundary value problems on compact and on noncompact intervals, and uses some continuity arguments and analysis in the phase space. As shown in the applications,...
A new approach to inverse spectral theory. I: Fundamental formalism.
A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measure.
A new approach to Young measure theory, relaxation and convergence in energy
A new Green function concept for fourth-order differential equations.
A new model to describe the response of a class of seemingly viscoplastic materials
A new model is proposed to mimic the response of a class of seemingly viscoplastic materials. Using the proposed model, the steady, fully developed flow of the fluid is studied in a cylindrical pipe. The semi-inverse approach is applied to obtain an analytical solution for the velocity profile. The model is used to fit the shear-stress data of several supposedly viscoplastic materials reported in the literature. A numerical procedure is developed to solve the governing ODE and the procedure is validated...
A new theorem on exponential stability of periodic evolution families on Banach spaces.
A nonlinear boundary value problem associated with the static equilibrium of an elastic beam supported by sliding clamps.
A nonlinear bounday value problem for a nonlinear ordinary differential operator in weighted Sobolev spaces.