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# Delay Differential Equations Definition/Meaning:

Ordinary differential equations where the derivatives depend on values of the solution at the current value and several previous values of the independent variable. The simplest form is

y(x) = ƒ(x, y(x), y(x - γ (x))), a ≤x ≤ b

where γ(x)≥0. To determine a solution, y(x) must be specified on an interval a ≤x ≤ a where a depends on the values taken by γ(x),

Most of the commonly used step-by-step methods for ordinary differential equations can be adapted to problems of this form, although they have not yet been developed to the same extent. It is necessary to incorporate an interpolation scheme to approximate

(x - γ(x))

to a value that will not usually coincide with a previously computed approximation.

## Near by Terms:

 Deadlock Deadly Embrace (deadlock) Debouncing Debugging Debug Tool (debugger) DEC Decade Counter Decay Time of a Pulse Decidable Decision Gate Decision Problem Decision Procedure (effective procedure) Decision Support System Decision Table Decision Tree Deck Declaration Declarative Languages (nonprocedural languages) Decoder Decoder/Demultiplexer Decoder/Driver Decoder Error Decoding Decollator Decompiler Decomposition Deconvolution Decryption Dedicated Defect Skipping Deferred Addressing Deferred Approach to the Limit (Richardson extrapolation) Deflation Degree Delay Differential Equations Delay Line Delete Deletion Delimiter Delta PCM (∆PCM) Demand Paging Demand Reading, Writing Demodulator De Morgan's Laws Demultiplexer Dendrogram Denial of Service (interdiction) Denotational Semantics Density Denumerable Set Deposit Depth Depth-Balanced Depth-First Search Deque Derivation Sequence Derivation Tree Descendant of a Node Descriptor Destructive Read-Out (DRO) Determinant Deterministic Deterministic Language Deterministic Turing Machine

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