Results 31 to 40 of about 94 (85)
Sturmian theorems for systems of differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 1, Page 177-184, 1980., 1979 Two Sturmian theorems are established for second order linear nonhomogeneous systems of two differential equations with the use of a maximum principle. The results also hold for homogeneous systems. For illustration, an example is given.
C. Y. Chan
wiley +1 more source
A Sturmian theorem for first order partial differential equations
, 1972 A pair of first order partial differential equations is considered. The system is transformed into a single nonlinear scalar equation of the Riccati type from which some Wirtinger type integral inequalities for functions of several variables are derived.
Pui Kei Wong
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Comparison theorems for ultrahyperbolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 1, Page 31-40, 1978., 1978 Sturmian comparison theorems are obtained for solutions of a class of normal and singular ultrahyperbolic partial differential equations. In the singular case, solutions are considered which satisfy non‐standard boundary conditions.
C. C. Travis, E. C. Young
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Wirtinger inequality and nonlinear differential systems [PDF]
, 1970 summary:Picone identity for a class of nonlinear differential equations is established and various qualitative results (such as Wirtinger-type inequality and the existence of zeros of first components of solutions) are obtained with the help of this new ...
Kreith, Kurt, Jaroš, Jaroslav
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Oscillation Properties of Weakly Time Dependent Hyperbolic Equations
, 1983 A Sturmian comparison theorem is established for a pair of linear hyperbolic differential equations. While the equations may be time dependent (in the sense of not allowing a separation of variables), a measure of the strength of such time dependence ...
Kurt Kreith
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Some oscillation theorems for second order differential equations [PDF]
, 2005 summary:In this paper we establish some oscillation or nonoscillation criteria for the second order half-linear differential equation \[ (r(t)\Phi (u^{\prime }(t)))^{\prime }+c(t)\Phi (u(t))=0, \] where (i) $r,c\in C([t_{0}, \infty )$, $\mathbb{R ...
Lee, Chung-Fen +2 more
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On Sturmian theory for second order systems
, 1983 A generalization of the Sturm Comparison Theorem is given to nonselfadjoint second order linear systems. In addition, a theorem, involving the existence of a solution with strictly positive components, is proven.
Shair Ahmad
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Positive solutions of inequality with $p$-Laplacian in exterior domains [PDF]
, 2002 summary:In the paper the differential inequality \[\Delta _p u+B(x,u)\le 0,\] where $\Delta _p u=\div (\Vert \nabla u\Vert ^{p-2}\nabla u)$, $p>1$, $B(x,u)\in C(\mathbb{R}^{n}\times \mathbb{R},\mathbb{R})$ is studied.
Mařík, Robert
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Sturmian theory for nonself-adjoint differential equations of second order
, 1987 SynopsisThe Sturm–Picone comparison theorem is extended to nonself-adjoint differential equations considered on non-compact intervals.
E. Müller-Pfeiffer
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Some qualitative questions on the equation −div(a(x,u,∇u))=f(x,u)
, 2017 In this article, we establish several applications of Picone's identity for the operator of the form−div(a(x,u,∇u)), such as Hardy type inequality, Sturmian comparison theorem, monotonicity property of the first eigenvalue, nonexistence of positive ...
Jagmohan Tyagi +3 more
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