![]() ![]() "Upper bounds for the blow up time for the Kirchhoff- type equation",ģ52-362, Haz. However, in our teaching we have found that it is helpful to have further documentation of the various solution techniques introduced in the text. Stat.Ĭommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics. Problem sessions, exercises and quizzes are provided for self-paced assessment. Upper bounds for the blow up time for the Kirchhoff- type equation.Ĭommun. The course starts with a discussion of direction fields and methods for solving first-order differential equations, followed by the study of second-order equations and their applications, and then moves on to solving systems of differential equations. %J Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics %T Upper bounds for the blow up time for the Kirchhoff- type equation Mathematics at the University of Washington Heat Equation in 2D and 3D. %0 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Upper bounds for the blow up time for the Kirchhoff- type equation This Demonstration solves this partial differential equationa two-dimensional. N1 - DO - T2 - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics T1 - Upper bounds for the blow up time for the Kirchhoff- type equationĪU - YavuzDinç, ErhanPişkin, Prof.dr.cemilTunc "Upper bounds for the blow up time for the Kirchhoff- type equation". "Upper bounds for the blow up time for the Kirchhoff- type equation"Ĭommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72 (2023 ![]() Upper bounds for the blow up time for the Kirchhoff- type equationĬommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics S., Zhao, D., Sobolev embedding theorems for spaces $W^ M., Lebesgue and Sobolev Spaces with Variable Exponents, Springer-Verlag, 2011. Diening, L., Hasto, P., Harjulehto, P., Ruzicka, M.Chen, Y., Levine, S., Rao, M., Variable exponent, linear growth functionals in image restoration, SIAM Journal on Applied Mathematics, 66 (2006) 1383-1406.N., Ferreira, J., Pi¸skin, E., Existence and blow up of Petrovsky equation solutions with strong damping and variable exponents, Electronic Journal of Differential Equations, 2021 (2021) 1-18. S., Existence and non-existence of solutions for Timoshenko-type equations with variable exponents, Nonlinear Analysis: Real World Applications, 61 (2021) 1-13. 1 Answer Sorted by: 1 DSolve wants a flat list of variables, so you need to combine x and p into a flat list. N., Ferreira, J., Pi¸skin, E., Cordeiro, S. Alkhalifa, L., Dridi, H., Zennir, K., Blow-up of certain solutions to nonlinear wave equations in the Kirchhoff-type equation with variable exponents and positive initial energy, Journal of Function Spaces, (2021), 1-9.Abita, R., Existence and asymptotic behavior of solutions for degenerate nonlinear Kirchhoff strings with variable-exponent nonlinearities, Acta Mathematica Vietnamica, 46 (2021), 613-643.Wolfram Knowledgebase Curated computable knowledge powering Wolfram|Alpha. Differential Eigensystems Version 11 extends its symbolic and numerical differential equation-solving capabilities to include finding eigenvalues and eigenfunctions over regions. Wolfram Universal Deployment System Instant deployment across cloud, desktop, mobile, and more. Mathematica provides a natural interface to algorithms for numerically solving differential equations. Wolfram Data Framework Semantic framework for real-world data.
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