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Existence of solutions for a higher order non-local equation appearing in crack dynamics
Hydraulic fractures Higher order equation Non-local equation Thin film equation Non-negative solutions periodic Hilbert transform
2015/10/15
In this paper, we prove the existence of non-negative solutions for a non-local higher order degenerate parabolic equation arising in the modeling of hydraulic fractures. The equation is similar to th...
Higher Order Log-Concavity in Euler's Difference Table
log-concavity 2-log-concavity reverse ultra log-concavity Euler's difference table
2014/6/3
For 0 ≤ k ≤ n, let ekn be the entries in Euler's difference table and let dkn = ekn/k!. Dumont and Randrianarivony showed ekn equals the number of permutations on [n] whose fixed points are contained ...
Global asymptotic stability of a higher order difference equation
difference equation periodic solution
2010/9/21
The aim of this work is to investigate the global stability, periodic nature, oscillation and boundedness of the positive solutions of the difference equation
Nontrivial solutions for nonlinear higher order multi-point boundary value problem on time scales with all derivatives
Time scale Positive solutions Higher order multi-point boundary
2010/9/15
In this paper, we consider the existence of nontrivial solutions for nonlinear higher order multi-point boundary value problem on time scales with all derivatives. In the case where a nonlinearity may...
On intrinsic compactness of regular solutions space of a class of higher order operator-differential equations
Hilbert spaces operator-differential equations
2010/9/14
In the paper we give definition of intrinsic compactness of regular solutions spaces of a class of higher order homogeneous operatordifferential equations and find sufficient conditions for intrinsic ...
The Bifurcation of Cycle Length and Global Asymptotic Stability in a Rational Difference Equation with Higher Order
Rational difference equation bifurcation of cycle length perturbation global asymptotic stability semicycle periodicity
2008/11/10
A new bifurcation case for the cycle length is found in this paper for rational difference equations, which is
shown out from the following fifth order rational difference equation
x x x x x x a
x ...
Improvements of Euler-Trapezoidal Type Inequalities with Higher-Order Convexity and Applications
Hadamard inequality Euler formula Convex functions Integral inequalities Numerical integration
2008/7/1
We improve a bounds relating to Euler's formula for the case of a function with higher-order convexity properties. These are used to improve estimates of the error involved in the use of the trapezoid...
Monotone Methods Applied to Some Higher Order Boundary Value Problems
Differential Inequality Monotone Methods Upper and Lower Solutions Maximum Principle
2008/6/30
Monotone Methods Applied to Some Higher Order Boundary Value Problems.
Triple Solutions for a Higher-order Difference Equation
Discrete three-point boundary value problem Multiple solutions Green's function Cone Fixed point
2008/6/26
Triple Solutions for a Higher-order Difference Equation.
Error analysis for weighted higher order compact finite difference scheme
Finite Difference Schemes High Order Compact Schemes
2010/9/16
In this paper, we analyze a type of finite-difference schemes, a newly developed Weighted Compact Scheme (WCS) developed by L. Jiang L, H.Shan, C. Liu, [Weight Compact Scheme for Shock Capturing, Inte...
MULTIPLE POSITIVE SOLUTIONS TO BVPS FOR HIGHER ORDER NONLINEAR DIFFERENTIAL EQUATIONS IN BANACH SPACES
Multiple positive solutions h
2007/12/10
In this article, the author employs the conical expansion and compression fixed point principle and the fixed point index theory to show that there exist at least two positive solutions for a higher o...