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An Interior Gradient Estimate for a class of Second Order Partial Differential Inequalities
Interior Gradient Estimate class of Second Order Partial Differential Inequalities
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2011/2/22
In this paper, we show a uniform gradient estimate for functions u defined on a domain
in Euclidian space RN which satisfy a system of N second order partial differential inequalities of the followi...
Initial-boundary value problems for second order systems of partial differential equations
Initial-boundary value problems second order systems of partial differential equations
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2011/1/18
We develop a well-posedness theory for second order systems in bounded domains where
boundary phenomena like glancing and surface waves play an important role. Attempts have previ-
ously been made t...
Line integration and second order partial differential equations over Cayley-Dickson algebras
Line integration second order partial differential equations Cayley-Dickson algebras
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2010/12/3
Line integration of generalized functions is studied. Second or-der partial differential equations with piecewise continuous and gen-eralized variable coefficients over Cayley-Dickson algebras are inv...
Oscillation of Second Order Nonlinear Delay Damped Difference Equations
oscillation second-order difference equations Riccati techniques
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2007/12/11
Some new oscillation criteria for nonlinear delay difference equation with damping $$ \Delta ^{2}x_{n}+p_{n}\Delta x_{n}+F(n,x_{n-\tau },\Delta x_{n-\sigma })=0,\ \ \ \ n=0,1,2,\ldots ,\eqno{(*)} $$ a...
Oscillation Criteria for Second Order Nonlinear Differential Equations with Damping
Oscillation averaging damping Riccati substitution second order
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2010/3/1
Oscillation criteria are given for second order nonlinear differential equations with damping of the form (a(t) y (x ) \dot x)\dot{}+ p(t) \dot x + q (t) f (x ) = 0,\quad t\geq t0, where p and q are a...