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second order
Behavior near the boundary of positive solutions of second order parabolic equations
      
We state a localization principle for expansions in eigenfunctions of a self-adjoint second order elliptic operator and we prove an equiconvergence result between eigenfunction expansions and trigonometric expansions.
      
We also obtain a way of constructing an arbitrary number of non-Gaussian continuous time processes whose second order properties are the same as those of fractional Brownian motion.
      
The line search functions used are Han's nondifferentiable penalty functions with a second order penalty term.
      
Finally, we prove the global convergence and the local second order convergence of the algorithm.
      
The zero and order of some second order linear differential equations with transcendental meromorphic coefficients
      
Homoclinic orbits for second order Hamiltonian system with quadratic growth
      
Boundary value problems for second order mixed-type functional differential equations
      
We use the topological degree method to deal with the generalized Sturm-Liouville boundary value problem (BVP) for second order mixed-type functional differential equation x-(t) = f(t, xt, xt), 0 ≤ t ≤ T.
      
Existence of solutions for second order impulsive differential equations
      
In this paper, we apply the coincidence degree theory to study nonlinear second order impulsive periodic boundary value problems (PBVP).
      
Existence of solutions of Sturm-Liouville boundary value problems for nonlinear second order impulsive differential equations in
      
In this paper, the fixed point theorem is applied to investigate the existence of solutions of Sturm-Liouville boundary value problems for nonlinear second order impulsive differential equations in Banach spaces.
      
A note on homoclinic orbits for second order Hamiltonian system
      
Under certain conditions, the solution obtained by the method is even a second order stationary point.
      
Periodic solutions of a class of superquadratic second order Hamiltonian systems
      
Oscillation criteria for second order nonlinear differential equations of neutral type
      
Oscillation theorems for second order quasilinear perturbed differential equations
      
New oscillation criteria for the second order perturbed differential equation are presented.
      
Positive homoclinic orbits for a class of asymptotically periodic second order differential equations
      
 

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