Results 1 to 10 of about 89 (80)
AIMS Mathematics, 2022 In this paper, we study linear differential equations whose coefficients consist of products of powers of natural logarithm and very general continuous functions.
Petr Hasil, Michal Veselý
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Remarks on the Periodic Conformable Sturm–Liouville Problems
Complexity, 2023 The conformable Sturm–Liouville problem (CSLP), −x1−αpxx1−αy′x′=λρx−qxyx, for ...
Wei-Chuan Wang
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Comparison and oscillation theorems for singular Sturm-Liouville operators [PDF]
Opuscula Mathematica, 2014 We prove analogues of the classical Sturm comparison and oscillation theorems for Sturm-Liouville operators on a finite interval with real-valued distributional potentials.
Monika Homa, Rostyslav Hryniv
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Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations [PDF]
Opuscula MathematicaThe aim of this paper is to present two comparison theorems. These results enable to describe the oscillation behavior of second order Euler type half-linear differential equations with perturbations in both terms using previously obtained oscillation ...
Petr Hasil +2 more
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Non-oscillation of half-linear differential equations with periodic coefficients
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We consider half-linear Euler type differential equations with general periodic coefficients. It is well-known that these equations are conditionally oscillatory, i.e., there exists a border value given by their coefficients which separates oscillatory ...
Petr Hasil, Michal Veselý
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Oscillation and non-oscillation criterion for Riemann–Weber type half-linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 By the combination of the modified half-linear Prüfer method and the Riccati technique, we study oscillatory properties of half-linear differential equations.
Petr Hasil, Michal Veselý
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Cumhuriyet Science Journal, 2017 In this paper, we prove some uniqueness theorems forthe solution of inverse spectral problems of Sturm–Liouville operators withboundary conditions depending linearly on the spectral parameter and with afinite number of transmission conditions.
Yaşar Çakmak, Baki Keskin
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Oscillation constant for modified Euler type half-linear equations
Electronic Journal of Differential Equations, 2015 Applying the modified half-linear Prufer angle, we study oscillation properties of the half-linear differential equation $$ [ r(t) t^{p-1} \Phi(x')]' + \frac{s(t)}{t \log^pt} \Phi(x) = 0, \quad \Phi(x)=|x|^{p-1}\hbox{sgn} x.
Petr Hasil, Michal Vesely
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Open MathematicsWe study linear differential equations whose coefficients consist of products of powers of natural logarithm and general continuous functions. We derive conditions that guarantee the non-oscillation of all non-trivial solutions of the treated type of ...
Šišoláková Jiřina
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Distribution of the Prufer angle in p-Laplacian eigenvalue problems
Electronic Journal of Differential Equations, 2014 The Prufer angle is an effective tool for studying Sturm-Liouville problems and p-Laplacian eigenvalue problems. In this article, we show that for the p-Laplacian eigenvalue problem, when x is irrational in (0,1), a sequence of modified Prufer angles
Yan-Hsiou Cheng +2 more
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