Explicit construction, uniqueness, and bifurcation curves of solutions for a nonlinear Dirichlet problem in a ball.
Explicit solutions for boundary value problems related to the operator equations
Cauchy problem, boundary value problems with a boundary value condition and Sturm-Liouville problems related to the operator differential equation are studied for the general case, even when the algebraic equation is unsolvable. Explicit expressions for the solutions in terms of data problem are given and computable expressions of the solutions for the finite-dimensional case are made available.
Explicit Solutions of Two-Point Boundary Value Operator Problems.
Explosive solutions of semilinear elliptic systems with gradient term.
Estudiamos la existencia de soluciones del sistema elíptico no lineal Δu + |∇u| = p(|x|)f(v), Δv + |∇v| = q(|x|)g(u) en Ω que explotan en el borde. Aquí Ω es un dominio acotado de RN o el espacio total. Las nolinealidades f y g son funciones continuas positivas mientras que los potenciales p y q son funciones continuas que satisfacen apropiadas condiciones de crecimiento en el infinito. Demostramos que las soluciones explosivas en el borde dejan de existir si f y g son sublineales. Esto se tiene...
Exponential functions as boundary layer functions.
Exponentially fitted spline approximation method for solving selfadjoint singular perturbation problems.
Extension of Liapunov theory to five-point boundary value problems for third order differential equations.
Extrapolation with spline-collocation methods for two-point boundary-value problems II: C2-cubics.
Extrapolation with spline-collocation methods for two-point boundary value problems I: Proposals and justifications.
Extrapolation with spline-collocation methods for two-point boundary value problems I: Proposals and justifications. (Short Communication).
Extremal properties of distance-based graph invariants for -trees
Sharp bounds on some distance-based graph invariants of -vertex -trees are established in a unified approach, which may be viewed as the weighted Wiener index or weighted Harary index. The main techniques used in this paper are graph transformations and mathematical induction. Our results demonstrate that among -trees with vertices the extremal graphs with the maximal and the second maximal reciprocal sum-degree distance are coincident with graphs having the maximal and the second maximal reciprocal...
Extremal solutions and relaxation for second order vector differential inclusions
In this paper we consider periodic and Dirichlet problems for second order vector differential inclusions. First we show the existence of extremal solutions of the periodic problem (i.e. solutions moving through the extreme points of the multifunction). Then for the Dirichlet problem we show that the extremal solutions are dense in the -norm in the set of solutions of the “convex” problem (relaxation theorem).
Extremal solutions and strong relaxation for second order multivalued boundary value problems
In this paper we study semilinear second order differential inclusions involving a multivalued maximal monotone operator. Using notions and techniques from the nonlinear operator theory and from multivalued analysis, we obtain “extremal” solutions and we prove a strong relaxation theorem.
Fast and heteroclinic solutions for a second order ODE.
Feedback and Adaptive Finite Element Solution of One-Dimenional Boundary Value Problems.
Finding the Boundary Curves of the Third Order Linear Ordinary Differential Equation
Finite Difference Methods and Their Convergence for a Class of Singular Two Point Boundary Value Problems.
Finite-difference method for parameterized singularly perturbed problem.
Finiteness of the set of solutions of some boundary-value problems for ordinary differential equations
First and third boundary value problems for the equation of the second order with non-continuous coefficients