Note on fundamental system of solutions to the differential equations (D2 − 2Dα + α2 ± β2) y = 0
-
Jozef Fecenko
and
Jana Chalmovianská
Abstract
The article deals with the study of the existence of a fundamental system of solutions to the differential equations: (D2 − 2Dα + α2 + β2)y = 0, (D2 − 2Dα + α2 − β2)y = 0, which are created using higher derivatives of the appropriate functions which are solutions to these equations. Special attention is paid to the solution of the generalized Cauchy problem with initial conditions.
Communicated by Michal Fečkan
References
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© 2024 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- Algebraic structures formalizing the logic of effect algebras incorporating time dimension
- Walks on tiled boards
- Composition on FLew-algebras
- On high power sums of a hybrid arithmetic function
- On indices of quintic number fields defined by x5 + ax + b
- Note on fundamental system of solutions to the differential equations (D2 − 2Dα + α2 ± β2) y = 0
- Several sharp inequalities involving (hyperbolic) tangent, tanc, cosine, and their reciprocals
- A new Approach of Generalized Fractional Integrals in Multiplicative Calculus and Related Hermite–Hadamard-Type Inequalities with Applications
- On a periodic problem for super-linear second-order ODEs
- Existence and Uniqueness of Solutions for Fractional Dynamic Equations with Impulse Effects
- Periodic Solutions for Conformable Non-autonomous Non-instantaneous Impulsive Differential Equations
- Self referred equations with an integral boundary condition
- Approximation by matrix means of double Vilenkin-Fourier series
- Maps on self-adjoint operators preserving some relations related to commutativity
- Chains in the Rudin-Frolík order
- Relative versions of first and second countability in hyperspaces
- Proportion estimation in multistage pair ranked set sampling
- The Marshall-Olkin Extended Gamma Lindley distribution: Properties, characterization and inference
