mathematics · analysis and differential equations

Uniqueness for a weighted difference-quotient differential equation

Whether zero initial data force uniqueness for a difference-quotient differential equation with a positive smooth weight.

The associated paper gives a smooth non-uniqueness counterexample and also proves uniqueness for a broad structured class of weights.

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Mar 27, 2026 · caseChatGPT suggests a differential-equation counterexample

ChatGPT-5.5 Pro supplied the key oscillatory construction for a smooth non-uniqueness counterexample after five comparison models failed or returned incorrect proofs.

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