AWhat changed
Gronwall used an integral bound to extend direct parameter-differentiability arguments from a single differential equation to a system, and treated derivatives with respect to initial values and initial time.
Scientific scope
Gronwall used an integral bound to extend direct parameter-differentiability arguments from a single differential equation to a system, and treated derivatives with respect to initial values and initial time. The integral inequality uses the stated sign, continuity/integrability and domain assumptions. It controls solutions relative to a specified comparison function and coefficient; it does not automatically give uniform-in-time stability or convergence when the resulting exponential grows. Generalized variants and nonlinear applications require their own hypotheses.
Evidence
Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.
Contributors
- T. H. Gronwall · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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