Results 71 to 80 of about 301,568 (186)
Explicit L2 inequalities are derived for second and third order diffusion equations with Neumann boundary conditions. Such inequalities are useful in approximating solutions to partial differential equations by the method of a priori inequalities.
J. R. Kuttler, V. G. Sigillito
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Some new generalized retarded inequalities for discontinuous functions and their applications
In this paper, some new generalized retarded inequalities for discontinuous functions are discussed, which are effective in dealing with the qualitative theory of some impulsive differential equations and impulsive integral equations.
Zhaowen Zheng, Xin Gao, Jing Shao
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Weighted Norm Inequalities for Solutions to the Nonhomogeneous A-Harmonic Equation
We first prove the local and global two-weight norm inequalities for solutions to the nonhomogeneous A-harmonic equation A(x,g+du)=h+d⋆v for differential forms. Then, we obtain some weighed Lipschitz norm and BMO norm inequalities for differential
Haiyu Wen
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ELLIPTIC AND PARABOLIC DIFFERENTIAL INEQUALITIES
The author establishes comparison results for some semilinear elliptic and parabolic inequalities of the forms \[ -\Delta \mu+\omega\mu\leq f(x,u)\text{ a.a. }x\in\Omega,\;u\in H^1_0(\Omega),\quad \Delta u\in L^2(\Omega), \] respectively \[ \begin{aligned} & \frac{\partial \mu}{\partial t}-\Delta u\leq f(x,t,u)\text{ a.a. }x\in \Omega,\text{ all } t>0,\
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On nonexistence of solutions to some nonlinear inequalities with transformed argument
We obtain results on nonexistence of nontrivial solutions for several classes of nonlinear partial differential inequalities and systems of such inequalities with transformed argument.
Olga Salieva
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From pseudo-holomorphic functions to the associated real manifold
This paper studies first the differential inequalities that make it possible to build a global theory of pseudo-holomorphic functions in the case of one or several complex variables.
Esposito, Giampiero, Roychowdhury, Raju
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On a Differential Inequality [PDF]
Bledsoe, Woodrow W. +2 more
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On Oleck-Opial-Beesack-Troy integro-differential inequalities
We obtain necessary and sufficient conditions for the integro-differential inequality $$ int_a^bdot x^2(t),dtgeqgammaint_a^bq(t),|dot x(t)x(t)|,dt $$ to be valid with one of the three boundary conditions: $x(a)=0$, or $x(a)=0$, or $x(a)=x(b)=0$.
Evgeniy I. Bravyi, Sergey S. Gusarenko
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Nonlinear delay differential inequalities
Nonlinear Analysis: Theory, Methods and ...
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ON REMOVING RESTRICTIONS IN THE BERNSTEIN THEOREM AND ITS MODIFICATIONS
In 1930, S. N. Bernstein proved the following theorem: Let f and F be complex polynomials such that 1)deg f ≤ deg F = n; 2)F has all its zeros in closure of the disc Δ = {z∈ℂ:|z| < 1}; 3)|f(z)| ≤ |F(z)| for |z| = 1.
E. G. Kompaneets +2 more
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