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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...
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 ...
The aim of this work is to investigate the global stability, periodic nature, oscillation and boundedness of the positive solutions of the difference equation
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...
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 ...
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 ...
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...
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...
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...

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