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 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 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.
A nonlinear differential equation involving reflection of the argument
We study the nonlinear boundary value problem involving reflection of the argument where and are continuous functions with . Using Galerkin approximations combined with the Brouwer’s fixed point theorem we obtain existence and uniqueness results. A numerical algorithm is also presented.
A non-resonant generalized multi-point boundary-value problem of Dirichlet type involving a p-Laplacian type operator.
A note on boundary value problems for second order differential equations
A note on existence of bounded solutions of an -th order ODE on the real line
A note on global existence for boundary value problems.
A note on nonexistence of radial solutions to semilinear elliptic inequations.
We study the nonexistence result of radial solutions to -Δu + c u/(|x|2) + |x|σ|u|qu ≤ 0 posed in B or in B {0} where B is the unit ball centered at the origin in RN, N ≥ 3. Moreover, we give a complete classification of radial solutions to the problem -Δu + c u/(|x|2) + |x|σ|u|qu = 0. In particular we prove that the latter has exactly one family of radial solutions.
A note on nonuniform nonresonance for jumping nonlinearities
A note on rapid convergence of approximate solutions for second order periodic boundary value problems
In this paper, we develop a generalized quasilinearization technique for a nonlinear second order periodic boundary value problem and obtain a sequence of approximate solutions converging uniformly and quadratically to a solution of the problem. Then we improve the convergence of the sequence of approximate solutions by establishing the convergence of order