Paper Citation Record · LEDGER

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One

As of 13 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 2 inbound Pith citation observations for arXiv:2411.15658.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2411.15658 v3

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:08:47.834327Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T08:32:48.873306Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

12 of 12 outbound references displayed

verified exact0
verified fuzzy11
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 692aaa27-8afb-4e5f-9626-2e62f95d69d3 · outbound

This paper cites Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equa- tions, vol.

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One Pazy, *Semigroups of Linear Operators and Applications to Partial Differential Equa- tions*, vol

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:08:48.144622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c9e4cb21-0725-4b16-a1dd-a11c89360445 · outbound

This paper cites an unresolved cited work.

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:08:48.124840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 313e735e-3eae-4ef5-ad1c-fb0c83a5ab77 · outbound

This paper cites On initial value problems in differential-algebraic equations and their numer- ical treatment,.

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One On initial value problems in differential-algebraic equations and their numer- ical treatment,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:08:48.108252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1d08129b-d51d-40bc-812f-797e7d95d9c0 · outbound

This paper cites ODE methods for the solution of differential/algebraic systems,.

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One ODE methods for the solution of differential/algebraic systems,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:08:48.094016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 53911a2a-9196-4ad6-b92e-6b173727c743 · outbound

This paper cites Analytical solutions for systems of partial differential-algebraic equations,.

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One Analytical solutions for systems of partial differential-algebraic equations,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:08:48.069938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 89754a87-2a68-4f20-a23f-5f5e3f6627e8 · outbound

This paper cites Rosenbrock-type methods adapted to differential-algebraic systems,.

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One Rosenbrock-type methods adapted to differential-algebraic systems,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:08:48.040451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f7ce4f9b-377a-466d-9a87-a90b7d262618 · outbound

This paper cites Fortin and S.

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One Fortin and S

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:08:48.008882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7fb6ffe5-b83c-4530-be52-b75536315b2e · outbound

This paper cites Math- ematics and numerics for balance partial differential-algebraic equations (PDAEs),.

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One Math- ematics and numerics for balance partial differential-algebraic equations (PDAEs),

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:08:47.979569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e5ce5601-3def-4ee2-9d5e-854b21ff206b · outbound

This paper cites Discretization-based indices for semilinear partial differential-algebraic equations,.

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One Discretization-based indices for semilinear partial differential-algebraic equations,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:08:47.964114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2bb15136-3af5-4b4c-affb-3b99df9a746e · outbound

This paper cites Modified homo- topy perturbation method for solving nonlinear PDAEs and its applications in nano- electronics,.

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One Modified homo- topy perturbation method for solving nonlinear PDAEs and its applications in nano- electronics,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:08:47.944387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b76d608c-b90d-4ae9-94e1-bd4582e7e047 · outbound

This paper cites Perturbation index of linear partial differential-algebraic equations with a hyperbolic part,.

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One Perturbation index of linear partial differential-algebraic equations with a hyperbolic part,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:08:47.919175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 89337354-9ae0-4ee1-9d6b-5c82773c6a18 · outbound

This paper cites Riaza, Differential-Algebraic Systems: Analytical Aspects and Circuit Applica- tions, World Scientific, 2008.

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One Riaza, *Differential-Algebraic Systems: Analytical Aspects and Circuit Applica- tions*, World Scientific, 2008

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:08:47.891568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 6f50560b-6f9b-4a22-a2c1-c5156d950acd · inbound

On the analysis of spectral deferred corrections for differential-algebraic equations of index one cites this paper.

On the analysis of spectral deferred corrections for differential-algebraic equations of index one Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T08:32:48.873306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5fc3cd2e-4146-4908-a3aa-5512727ff959 · inbound

Spectral deferred corrections parallelized across the method for differential-algebraic equations cites this paper.

Spectral deferred corrections parallelized across the method for differential-algebraic equations Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-06-25T19:38:17.502564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.