HASIL, Petr and Michal VESELÝ. Oscillation and non-oscillation of half-linear differential equations with coefficients determined by functions having mean values. Open Mathematics. WARSAW, POLAND: De Gruyter, 2018, vol. 16, No 1, p. 507-521. ISSN 2391-5455. Available from: https://dx.doi.org/10.1515/math-2018-0047. |
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@article{1414354, author = {Hasil, Petr and Veselý, Michal}, article_location = {WARSAW, POLAND}, article_number = {1}, doi = {http://dx.doi.org/10.1515/math-2018-0047}, keywords = {half-linear equation; oscillation theory; conditional oscillation; oscillation constant; Euler equation; Riccati technique}, language = {eng}, issn = {2391-5455}, journal = {Open Mathematics}, title = {Oscillation and non-oscillation of half-linear differential equations with coefficients determined by functions having mean values}, url = {http://dx.doi.org/10.1515/math-2018-0047}, volume = {16}, year = {2018} }
TY - JOUR ID - 1414354 AU - Hasil, Petr - Veselý, Michal PY - 2018 TI - Oscillation and non-oscillation of half-linear differential equations with coefficients determined by functions having mean values JF - Open Mathematics VL - 16 IS - 1 SP - 507-521 EP - 507-521 PB - De Gruyter SN - 23915455 KW - half-linear equation KW - oscillation theory KW - conditional oscillation KW - oscillation constant KW - Euler equation KW - Riccati technique UR - http://dx.doi.org/10.1515/math-2018-0047 N2 - The paper belongs to the qualitative theory of half-linear equations which are located between linear and non-linear equations and, at the same time, between ordinary and partial differential equations. We analyse the oscillation and non-oscillation of second-order half-linear differential equations whose coefficients are given by the products of functions having mean values and power functions. We prove that the studied very general equations are conditionally oscillatory. In addition, we find the critical oscillation constant. ER -
HASIL, Petr and Michal VESELÝ. Oscillation and non-oscillation of half-linear differential equations with coefficients determined by functions having mean values. \textit{Open Mathematics}. WARSAW, POLAND: De Gruyter, 2018, vol.~16, No~1, p.~507-521. ISSN~2391-5455. Available from: https://dx.doi.org/10.1515/math-2018-0047.
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