On the solvability of one class of third-order differential equations

DOI10.1007/s11253-021-01930-1zbMath1479.35240OpenAlexW3136163967WikidataQ115379941 ScholiaQ115379941MaRDI QIDQ2057613

Yanyan Li

Publication date: 7 December 2021

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-021-01930-1

zbMATH Keywords

method of successive approximations

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (2)

Solvability in the small of $m$-th order elliptic equations in weighted grand Sobolev spaces ⋮ Unnamed Item

Cites Work

• Boundary-value problem for a degenerate high-odd-order equation
• Mixed boundary value problem for a class of strongly nonlinear Sobolev-type equations of higher order
• Taylor's decomposition on four points for solving third-order linear time-varying systems
• A quasilinear hyperbolic and related third-order equations
• New difference schemes for partial differential equations.
• A note on the Taylor's decomposition on four points for a third-order differential equation
• On the existence, uniqueness, and stability of solutions of the equation \(p_0 {\mathfrak X}_{tt} = E({\mathfrak X}_ x) {\mathfrak X}_{xx} +\lambda {\mathfrak X}_{xxt}\)
• On the exponential stability of solutions of \(E(u_ x)u_{xx} + \lambda u_{xtx} = \rho u_{tt}\)
• On the existence, uniqueness and stability of solutions of a nonlinear functional differential equation
• A three-point boundary value problem with an integral condition for a third-order partial differential equation
• A note on the nonlocal boundary value problem for a third order partial differential equation
• On global solutions for mixed problem of a semi-linear differential equation
• The asymptotic behaviour of the solution of a semi-linear partial differential equation relatedto an active pulse transmission line
• THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS
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• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
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