Singular and unbounded matrix solutions for both time-dependent matrix and vector differential systems
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1982-05-01 and is currently open access. It has received 6 citations till now. The article focuses on the topics: Symmetric matrix & Single-entry matrix.read more
Citations
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Oscillation properties of solutions of a class of nonlinear parabolic equations
TL;DR: In this paper, the Picone-type identities for half-linear elliptic operators were employed to study the unboundedness of solutions of nonlinear parabolic equations, and the effect of Picone identities on solutions was investigated.
Journal Article
Oscillatory properties of solutions of superlinear-sublinear parabolic equations via Picone-type inequalities
TL;DR: In this paper, the Picone-type inequalities for elliptic operators are used to study the oscillations of solutions of superlinear-sublinear parabolic equations, and the unboundedness of solutions is also in- vestigated.
Journal Article
Unboundedness of solutions of time-dependent differential systems of parabolic type
Kukio Kobayashi,Norio Yoshida +1 more
TL;DR: In this paper, the authors studied the unboundedness of matrix solutions of time-dependent differential systems of parabolic type and derived the results about the oscillations of the matrix solutions.
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Unboundedness of classical global solutions of parabolic equations with forcing terms
TL;DR: In this article, Semilinear parabolic equations with forcing terms are discussed and conditions for every classical global solution of boundary value problems to be unbounded on a cylindrical domain in R n+1.
Oscillations and unboundedness of solutions of superlinear-sublinear parabolic equations via Picone-type inequality
TL;DR: Jaroš et al. as discussed by the authors established a Picone-type inequality for a class of superlinear-sublinear parabolic equations, and oscillatory behavior and unboundedness of solutions are investigated by using the Piconetype inequality.
References
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Book
Partial Differential Equations
TL;DR: In this paper, the authors present a theory for linear PDEs: Sobolev spaces Second-order elliptic equations Linear evolution equations, Hamilton-Jacobi equations and systems of conservation laws.
Book
Theory of Ordinary Differential Equations
TL;DR: The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable as discussed by the authors, which is a useful text in the application of differential equations as well as for the pure mathematician.
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Comparison and oscillation theorems for matrix differential inequalitites
TL;DR: In this article, strong comparison theorems of Sturm's type are established for systems of second order quasilinear elliptic partial differential equations, leading to new oscillation and nonoscillation criteria for such systems.