Linear Differential Equations and Their Applications
E599705
"Linear Differential Equations and Their Applications" is a classic mathematical text by Maxime Bôcher that systematically develops the theory of linear differential equations and demonstrates their use in solving applied problems.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Linear Differential Equations and Their Applications canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6606128 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Linear Differential Equations and Their Applications Context triple: [Maxime Bôcher, notableWork, Linear Differential Equations and Their Applications]
-
A.
Stability of Linear Systems
"Stability of Linear Systems" is a foundational book by Eliahu I. Jury that systematically develops the theory and criteria for determining the stability of linear dynamical and control systems.
-
B.
Inners and Stability of Dynamic Systems
"Inners and Stability of Dynamic Systems" is a seminal work in control theory by Eliahu I. Jury that analyzes the role of inner functions in determining the stability properties of dynamic systems.
-
C.
Lyapunov stability theory
Lyapunov stability theory is a fundamental framework in dynamical systems and control theory that uses energy-like functions to assess the stability of equilibrium points without explicitly solving differential equations.
-
D.
Lectures on Cauchy’s problem in linear partial differential equations
"Lectures on Cauchy’s Problem in Linear Partial Differential Equations" is a classic mathematical treatise by Jacques Hadamard that systematically develops the theory of existence, uniqueness, and well-posedness for solutions to linear partial differential equations.
-
E.
The Fourier Integral and Certain of Its Applications
The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Linear Differential Equations and Their Applications Target entity description: "Linear Differential Equations and Their Applications" is a classic mathematical text by Maxime Bôcher that systematically develops the theory of linear differential equations and demonstrates their use in solving applied problems.
-
A.
Stability of Linear Systems
"Stability of Linear Systems" is a foundational book by Eliahu I. Jury that systematically develops the theory and criteria for determining the stability of linear dynamical and control systems.
-
B.
Inners and Stability of Dynamic Systems
"Inners and Stability of Dynamic Systems" is a seminal work in control theory by Eliahu I. Jury that analyzes the role of inner functions in determining the stability properties of dynamic systems.
-
C.
Lyapunov stability theory
Lyapunov stability theory is a fundamental framework in dynamical systems and control theory that uses energy-like functions to assess the stability of equilibrium points without explicitly solving differential equations.
-
D.
Lectures on Cauchy’s problem in linear partial differential equations
"Lectures on Cauchy’s Problem in Linear Partial Differential Equations" is a classic mathematical treatise by Jacques Hadamard that systematically develops the theory of existence, uniqueness, and well-posedness for solutions to linear partial differential equations.
-
E.
The Fourier Integral and Certain of Its Applications
The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
- F. None of above. chosen
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
academic textbook
ⓘ
mathematics book ⓘ nonfiction book ⓘ |
| approach |
emphasis on applications
ⓘ
rigorous theoretical development ⓘ |
| author | Maxime Bôcher ⓘ |
| coversTopic |
Fourier series methods
ⓘ
Green's functions ⓘ Sturm–Liouville problems ⓘ Wronskian ⓘ applications to engineering ⓘ applications to physics ⓘ boundary value problems ⓘ eigenvalue problems ⓘ existence and uniqueness of solutions ⓘ fundamental systems of solutions ⓘ homogeneous linear differential equations ⓘ linear systems of differential equations ⓘ nonhomogeneous linear differential equations ⓘ series solutions of differential equations ⓘ superposition principle ⓘ |
| educationalLevel | university ⓘ |
| field |
applied mathematics
ⓘ
differential equations ⓘ mathematics ⓘ |
| focus |
applications of linear differential equations to applied problems
ⓘ
theory of linear differential equations ⓘ |
| genre | mathematics textbook ⓘ |
| hasAuthorProfession |
Maxime Bôcher was an American mathematician
ⓘ
linked to:
Maxime Bôcher
|
| historicalSignificance | considered a classic text in the theory of linear differential equations ⓘ |
| intendedAudience |
advanced undergraduates
ⓘ
engineers ⓘ graduate students ⓘ mathematicians ⓘ physicists ⓘ |
| language | English ⓘ |
| mainSubject |
applications of differential equations
ⓘ
linear differential equations ⓘ ordinary differential equations ⓘ |
| structure | systematic exposition of linear differential equations ⓘ |
| usedAs |
course textbook in differential equations
ⓘ
reference for linear differential equations ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Linear Differential Equations and Their Applications Description of subject: "Linear Differential Equations and Their Applications" is a classic mathematical text by Maxime Bôcher that systematically develops the theory of linear differential equations and demonstrates their use in solving applied problems.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.