Temat: third order equations

Skocz do pozycji: 1.

Tytuł:: Oscillation criteria for a class of nonlinear differential equations of third order
Autorzy:: Parhi, N.
Das, P.
Tematy:: third order equations
oscillation
nonoscillation
asymptotic behaviour; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Powiązania:: https://bibliotekanauki.pl/articles/1311970.pdf Link otwiera się w nowym oknie
Opis:: Oscillation criteria are obtained for nonlinear homogeneous third order differential equations of the form $y''' + q(t)y' + p(t)y^α = 0$ and y''' + q(t)y' + p(t)f(y) = 0, where p and q are real-valued continuous functions on [a,∞), f is a real-valued continuous function on (-∞, ∞) and α > 0 is a quotient of odd integers. Sign restrictions are imposed on p(t) and q(t). These results generalize some of the results obtained earlier in this direction.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: A singular initial value problem for second and third order differential equations
Autorzy:: Mydlarczyk, Wojciech
Tematy:: initial value problems for second and third order differential equations
blowing up solutions; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Powiązania:: https://bibliotekanauki.pl/articles/967100.pdf Link otwiera się w nowym oknie
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation
Autorzy:: Graef, J. R.
Tunc, E.
Grace, S. R.
Tematy:: third order
neutral differential equations
asymptotic behavior
nonoscillatory
oscillatory solution; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/255282.pdf Link otwiera się w nowym oknie
Opis:: This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are presented. The results obtained can easily be extended to more general neutral differential equations as well as to neutral dynamic equations on time scales. Two examples are provided to illustrate the results.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Oscillatory and asymptotically zero solutions of third order difference equations with quasidifferences
Autorzy:: Schmeidel, E.
Tematy:: linear
nonlinear
difference equations
third order
oscillatory solution
quasidifferences
Riccati technique; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/255806.pdf Link otwiera się w nowym oknie
Opis:: In this paper, third order difference equations are considered. We study the nonlinear third order difference equation with quasidifferences. Using Riccati transformation techniques, we establish some sufficient conditions for each solution of this equation to be either oscillatory or converging to zero. The result is illustrated with examples.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: The mathematical characteristic of the Laplace contour filters used in digital image processing. The third order filters
Autorzy:: Winnicki, Ireneusz
Jasinski, Janusz
Pietrek, Sławomir
Kroszczynski, Krzysztof
Tematy:: metoda elementów skończonych
filtr Laplace'a
równanie różniczkowe
transfer function
finite element method
finite difference method
matrices of the third-order Laplace filters
modified differential equations; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Powiązania:: https://bibliotekanauki.pl/articles/43852806.pdf Link otwiera się w nowym oknie
Opis:: The Laplace operator is a differential operator which is used to detect edges of objects in digital images. This paper presents the properties of the most commonly used third-order 3x3 pixels Laplace contour filters including the difference schemes used to derive them. The authors focused on the mathematical properties of the Laplace filters. The basic reasons of the differences of the properties were studied and indicated using their transfer functions and modified differential equations. The relations between the transfer function for the differential Laplace operator and its difference operators were described and presented graphically. The impact of the corner elements of the masks on the results was discussed. This is a theoretical work. The basic research conducted here refers to a few practical examples which are illustrations of the derived conclusions.We are aware that unambiguous and even categorical final statements as well as indication of areas of the results application always require numerous experiments and frequent dissemination of the results. Therefore, we present only a concise procedure of determination of the mathematical properties of the Laplace contour filters matrices. In the next paper we shall present the spectral characteristic of the fifth order filters of the Laplace type.
Dostawca treści:: Biblioteka Nauki

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